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Finding the Third Proportional to 88,965 and 138,555

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Solution

The third proportional to 88,965 and 138,555 is: 215,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,965 : 138,555 = 138,555 : x
  2. Step 2: Convert to fraction form
    88,965/138,555 = 138,555/x
  3. Step 3: Cross multiply
    88,965x = 138,555 × 138,555
  4. Step 4: Simplify right side
    88,965x = 19,197,488,025
  5. Step 5: Solve for x
    x = 19,197,488,025/88,965
  6. Step 6: Final answer
    x = 215,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.