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Finding the Third Proportional to 61,859.25 and 137,934

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Solution

The third proportional to 61,859.25 and 137,934 is: 307,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,859.25 : 137,934 = 137,934 : x
  2. Step 2: Convert to fraction form
    61,859.25/137,934 = 137,934/x
  3. Step 3: Cross multiply
    61,859.25x = 137,934 × 137,934
  4. Step 4: Simplify right side
    61,859.25x = 19,025,788,356
  5. Step 5: Solve for x
    x = 19,025,788,356/61,859.25
  6. Step 6: Final answer
    x = 307,565.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.