Andy Murray, seeded third, will face world number one Novak Djokovic in Sunday’s final after beating Roger Federer 6-4 6-7 (5-7) 6-3 6-7 (2-7) 6-2.
It required a dramatic four hours on Rod Laver Arena, with Andy Murray dominating for the most part but Federer’s brilliance keeping him alive.
Andy Murray served superbly, firing down 21 aces, only for Roger Federer to dominate the two tie-breaks.
And after failing to serve out the match in the fourth set, it looked as though Andy Murray might have missed his chance when it came down to a fifth.
However, just like he did in winning his first major title at the US Open, Andy Murray rose to the occasion in the deciding set and raced away with it.
Roger Federer had needed five sets to win his quarter-final against Jo-Wilfried Tsonga two days earlier, and he was overpowered this time.
An early break when Roger Federer framed a backhand was enough as Andy Murray rediscovered the potent serving of the early stages, closing it out when Federer sent a forehand long.
The major concern around Andy Murray before the match had been that he had not been tested in five straight-sets wins, but a thumping forehand winner on the second point suggested he was not suffering from a lack of intensity.
Returning superbly, he kept Roger Federer on the back foot from the outset as the Swiss struggled to win any free points on serve.
Andy Murray missed a break point in the opening game and forced another three two games later, grabbing the break with a cross-court forehand at the fifth opportunity.
Roger Federer saw an ace fly past him after fashioning his first chance of the match in game four, and he would not earn another break point until the fourth set.
Andy Murray saw out the opener in 45 minutes and continued to dominate in the second, but Roger Federer at least began to gain a foothold.
The 17-time Grand Slam champion provided enough flashing winners to keep his large following happy and made it to the sanctuary of a tie-break, which he dominated.
Two wayward forehands from Andy Murray gave Roger Federer the perfect start and, after being pegged back to 5-5, the Swiss played a magnificent backhand pass after the Scot failed to put away a smash.
The set was his but the momentum did not shift. Andy Murray slapped a forehand wide on an early chance in the third set but visibly geed himself up after a strong hold at 3-2, and moments later broke to love.
Two more thunderous aces took him to the set and restored the lead his play deserved.
Roger Federer was not done, capitalising on a sloppy game from his opponent to move 4-1 up in the third, but when the Briton came storming back to level and then broke for 6-5, the end appeared imminent.
Andy Murray powered his way to 30-0, two points from victory, with a thumping forehand followed by a snarl of satisfaction, only for Roger Federer to ignite the crowd with a blistering backhand winner as he recovered the break and forced a second tie-break.
Again, Andy Murray started poorly, dazed by his missed opportunity, and Roger Federer raced through it to force a deciding set – the first time in his long career that the Swiss had played back-to-back five set matches.
Andy Murray might have been expected to crumble, but just as against Novak Djokovic in New York last September, he played a superb final set.
It was Roger Federer who lost his way, framing a backhand under huge pressure to give up the crucial break in game two, and Andy Murray resumed the serving prowess of earlier as he powered towards the finish line.
A forehand down the line brought up match point on the Federer serve, and the Swiss cracked one final time with a mistimed forehand to send Andy Murray back to the Melbourne final for the third time in four years.
However, just like he did in winning his first major title at the US Open, Andy Murray rose to the occasion in the deciding set and raced away with it.
Andy Murray predicted another physical encounter against defending champion Novak Djokovic in Sunday’s rematch.
“He is an unbelievable mover so I will need to be ready for the pain, but I hope it is a painful match because that means it will be a good one,” said Andy Murray.
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