Thank you for inquiring concerning your Toshiba 27A62.
As the filter component in the power supply of the TV ages it develops less voltage. It will become more difficult to turn-on, and then eventually will repeatedly click and then not turn on at all.
An experienced technician can repair your set for approximately $105.00-$135.00 on a walk in basis depending on parts and labor, and more if a service call is required as rates vary according to the distance traveled.
If you do not know of a repair center, please log on to TVRepairman.com and enter your zip code to locate a qualified service center.
Thank you for using Just Answer, and please do not hesitate to ask any further questions.