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Finding the Third Proportional to 87,565 and 138,677

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Solution

The third proportional to 87,565 and 138,677 is: 219,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,565 : 138,677 = 138,677 : x
  2. Step 2: Convert to fraction form
    87,565/138,677 = 138,677/x
  3. Step 3: Cross multiply
    87,565x = 138,677 × 138,677
  4. Step 4: Simplify right side
    87,565x = 19,231,310,329
  5. Step 5: Solve for x
    x = 19,231,310,329/87,565
  6. Step 6: Final answer
    x = 219,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.