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Radwanska took the game to the Spaniard in the early stages of the set, securing an early break of serve. However, Muguruza battled back to level the set with a break of her own to take it to a tie-breaker.
The number two seed upped the quality of her game to win the crucial points to clinch the tie-breaker 7-5.
Radwanska responded in the second set by attacking the Spaniard's serve, which yielded three breaks. Muguruza tried to fight back, but the Pole managed to hold out to secure a 6-3 win to set up a decider.
The two players battled out a tight contest in the third as they both took advantage of break points, but the set looked to be heading towards a tie-breaker before Radwanska clinched another break to secure a 7-5 win.