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Finding the Third Proportional to 87,932 and 136,353

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Solution

The third proportional to 87,932 and 136,353 is: 211,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,932 : 136,353 = 136,353 : x
  2. Step 2: Convert to fraction form
    87,932/136,353 = 136,353/x
  3. Step 3: Cross multiply
    87,932x = 136,353 × 136,353
  4. Step 4: Simplify right side
    87,932x = 18,592,140,609
  5. Step 5: Solve for x
    x = 18,592,140,609/87,932
  6. Step 6: Final answer
    x = 211,437.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.