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Finding the Third Proportional to 71,366 and 96,129

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Solution

The third proportional to 71,366 and 96,129 is: 129,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366 : 96,129 = 96,129 : x
  2. Step 2: Convert to fraction form
    71,366/96,129 = 96,129/x
  3. Step 3: Cross multiply
    71,366x = 96,129 × 96,129
  4. Step 4: Simplify right side
    71,366x = 9,240,784,641
  5. Step 5: Solve for x
    x = 9,240,784,641/71,366
  6. Step 6: Final answer
    x = 129,484.41

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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.