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Finding the Third Proportional to 87,898 and 139,751

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Solution

The third proportional to 87,898 and 139,751 is: 222,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,898 : 139,751 = 139,751 : x
  2. Step 2: Convert to fraction form
    87,898/139,751 = 139,751/x
  3. Step 3: Cross multiply
    87,898x = 139,751 × 139,751
  4. Step 4: Simplify right side
    87,898x = 19,530,342,001
  5. Step 5: Solve for x
    x = 19,530,342,001/87,898
  6. Step 6: Final answer
    x = 222,193.25

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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.