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Finding the Third Proportional to 71,676 and 100,250

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Solution

The third proportional to 71,676 and 100,250 is: 140,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 100,250 = 100,250 : x
  2. Step 2: Convert to fraction form
    71,676/100,250 = 100,250/x
  3. Step 3: Cross multiply
    71,676x = 100,250 × 100,250
  4. Step 4: Simplify right side
    71,676x = 10,050,062,500
  5. Step 5: Solve for x
    x = 10,050,062,500/71,676
  6. Step 6: Final answer
    x = 140,215.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.