Juan Martin del Potro, Andy Murray and Andy Roddick all won their matches with comparative ease but Rafael Nadal needed three and a half hours to beat dogged German Philipp Kohlschreiber.
The defending champion eventually won 6-4 6-2 2-6 7-5 and meets Croatia's Ivo Karlovic in the fourth round.
The U.S. Open champion Del Potro showed no lingering effects of his five-set second round win over James Blake during his 6-3 0-6 6-4 7-5 win over German Florian Mayer.
Roddick recovered from a set down to defeat Spain's Feliciano Lopez 6-7 6-4 6-4 7-6.
The American will next play Fernando Gonzalez of Chile after the 2007 Australian Open runner-up outlasted Evgeny Korolev 6-7 6-3 1-6 6-3 6-4.
Murray overcame a minor injury scare and more questions about his serve to beat Florent Serra of France 7-5 6-1 6-4 and is the only man through to the round of 16 who has not dropped a set.
Murray's next opponent is John Isner, the 2.06 metre American, whose main weapon is not hard to guess.
He thumped 26 aces past Gael Monfils in his 6-1 4-6 7-6 7-6 win over the Frenchman to lift his total for the championship to 81.