If x ,\ y >0,(log)y x+(log)x y=(10)/3\...

If `x ,\ y >0,(log)_y x+(log)_x y=(10)/3\ a n d\ x y=144 ,\ t h e n(x+y)/2=sqrt("N")"\ w h e r e\ N"` is a natural number, find the value of `Ndot`

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