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Finding the Third Proportional to 71,474 and 108,747

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Solution

The third proportional to 71,474 and 108,747 is: 165,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 108,747 = 108,747 : x
  2. Step 2: Convert to fraction form
    71,474/108,747 = 108,747/x
  3. Step 3: Cross multiply
    71,474x = 108,747 × 108,747
  4. Step 4: Simplify right side
    71,474x = 11,825,910,009
  5. Step 5: Solve for x
    x = 11,825,910,009/71,474
  6. Step 6: Final answer
    x = 165,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.