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Finding the Third Proportional to 87,016 and 138,460

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Solution

The third proportional to 87,016 and 138,460 is: 220,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016 : 138,460 = 138,460 : x
  2. Step 2: Convert to fraction form
    87,016/138,460 = 138,460/x
  3. Step 3: Cross multiply
    87,016x = 138,460 × 138,460
  4. Step 4: Simplify right side
    87,016x = 19,171,171,600
  5. Step 5: Solve for x
    x = 19,171,171,600/87,016
  6. Step 6: Final answer
    x = 220,317.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.