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Finding the Third Proportional to 87,234 and 138,360

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Solution

The third proportional to 87,234 and 138,360 is: 219,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,234 : 138,360 = 138,360 : x
  2. Step 2: Convert to fraction form
    87,234/138,360 = 138,360/x
  3. Step 3: Cross multiply
    87,234x = 138,360 × 138,360
  4. Step 4: Simplify right side
    87,234x = 19,143,489,600
  5. Step 5: Solve for x
    x = 19,143,489,600/87,234
  6. Step 6: Final answer
    x = 219,449.87

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Why These Related Problems?

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