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Finding the Third Proportional to 61,654.92 and 132,488.26

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Solution

The third proportional to 61,654.92 and 132,488.26 is: 284,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,654.92 : 132,488.26 = 132,488.26 : x
  2. Step 2: Convert to fraction form
    61,654.92/132,488.26 = 132,488.26/x
  3. Step 3: Cross multiply
    61,654.92x = 132,488.26 × 132,488.26
  4. Step 4: Simplify right side
    61,654.92x = 17,553,139,493.26
  5. Step 5: Solve for x
    x = 17,553,139,493.26/61,654.92
  6. Step 6: Final answer
    x = 284,699.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.