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Finding the Third Proportional to 87,042 and 117,441

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Solution

The third proportional to 87,042 and 117,441 is: 158,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,042 : 117,441 = 117,441 : x
  2. Step 2: Convert to fraction form
    87,042/117,441 = 117,441/x
  3. Step 3: Cross multiply
    87,042x = 117,441 × 117,441
  4. Step 4: Simplify right side
    87,042x = 13,792,388,481
  5. Step 5: Solve for x
    x = 13,792,388,481/87,042
  6. Step 6: Final answer
    x = 158,456.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.