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Finding the Third Proportional to 71,375 and 96,142

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Solution

The third proportional to 71,375 and 96,142 is: 129,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375 : 96,142 = 96,142 : x
  2. Step 2: Convert to fraction form
    71,375/96,142 = 96,142/x
  3. Step 3: Cross multiply
    71,375x = 96,142 × 96,142
  4. Step 4: Simplify right side
    71,375x = 9,243,284,164
  5. Step 5: Solve for x
    x = 9,243,284,164/71,375
  6. Step 6: Final answer
    x = 129,503.11

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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.