A line passing through the point $P(\sqrt 5 ,\sqrt 5 )$ intersects the ellipse $\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{{25}} = 1$ at A and B such that $(PA) \cdot (PB)$ is maximum. Then $5\left( {P{A^2} + P{B^2}} \right)$ is equal to :
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