# A factorization question

Let $$N$$ be a positive integer ending in 9 such that $$N < 50000$$.

Let $$a$$ and $$b$$ be positive integers such that $$a \times b = N$$ and a > b.

Let $$c$$ and $$d$$ be positive integers such that $$c \times d = 2N$$ and $$c > d$$.

Is it possible to find a value of $$N$$ such that it meets the specifications of $$\dfrac ab < 1.25$$ and $$\dfrac cd < 1.02$$?

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