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Finding the Third Proportional to 71,371 and 96,137

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Solution

The third proportional to 71,371 and 96,137 is: 129,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371 : 96,137 = 96,137 : x
  2. Step 2: Convert to fraction form
    71,371/96,137 = 96,137/x
  3. Step 3: Cross multiply
    71,371x = 96,137 × 96,137
  4. Step 4: Simplify right side
    71,371x = 9,242,322,769
  5. Step 5: Solve for x
    x = 9,242,322,769/71,371
  6. Step 6: Final answer
    x = 129,496.89

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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.