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Finding the Third Proportional to 71,202 and 95,847

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Solution

The third proportional to 71,202 and 95,847 is: 129,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202 : 95,847 = 95,847 : x
  2. Step 2: Convert to fraction form
    71,202/95,847 = 95,847/x
  3. Step 3: Cross multiply
    71,202x = 95,847 × 95,847
  4. Step 4: Simplify right side
    71,202x = 9,186,647,409
  5. Step 5: Solve for x
    x = 9,186,647,409/71,202
  6. Step 6: Final answer
    x = 129,022.32

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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.