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Finding the Third Proportional to 71,367 and 96,131

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Solution

The third proportional to 71,367 and 96,131 is: 129,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,367 : 96,131 = 96,131 : x
  2. Step 2: Convert to fraction form
    71,367/96,131 = 96,131/x
  3. Step 3: Cross multiply
    71,367x = 96,131 × 96,131
  4. Step 4: Simplify right side
    71,367x = 9,241,169,161
  5. Step 5: Solve for x
    x = 9,241,169,161/71,367
  6. Step 6: Final answer
    x = 129,487.99

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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.