Lee Miller scored a hat-trick as Falkirk made light work of Fraserburgh, winning 4-1 in the William Hill Scottish Cup third round.Miller's first - a header from Blair Alston's corner in the 16th minute - started the proceedings as the Bairns began dominantly.But the Highland League outfit looked like they could cause a shock when Mark Lawrence levelled midway through the second half, the midfielder converting at the second attempt.However, two goals in four minutes settled Falkirk's nerves as Will Vaulks headed home Craig Sibbald's cross and then, in the 74th minute, Miller converted from close range.Miller sealed his treble with a simple tap-in in the final 10 minutes to send the Bairns through.