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Finding the Third Proportional to 87,440 and 139,042

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Solution

The third proportional to 87,440 and 139,042 is: 221,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,440 : 139,042 = 139,042 : x
  2. Step 2: Convert to fraction form
    87,440/139,042 = 139,042/x
  3. Step 3: Cross multiply
    87,440x = 139,042 × 139,042
  4. Step 4: Simplify right side
    87,440x = 19,332,677,764
  5. Step 5: Solve for x
    x = 19,332,677,764/87,440
  6. Step 6: Final answer
    x = 221,096.50

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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.