$a, g, h$ are the arithmetic mean,geometric mean,and harmonic mean between two positive numbers $x$ and $y$ respectively. Identify the correct statement among the following:
- A$h$ is the harmonic mean between $a$ and $g$
- BNo such relation exists between $a, g,$ and $h$
- C$g$ is the geometric mean between $a$ and $h$
- D$a$ is the arithmetic mean between $g$ and $h$
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