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Finding the Third Proportional to 71,148.50 and 95,207.25

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Solution

The third proportional to 71,148.50 and 95,207.25 is: 127,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.50 : 95,207.25 = 95,207.25 : x
  2. Step 2: Convert to fraction form
    71,148.50/95,207.25 = 95,207.25/x
  3. Step 3: Cross multiply
    71,148.50x = 95,207.25 × 95,207.25
  4. Step 4: Simplify right side
    71,148.50x = 9,064,420,452.56
  5. Step 5: Solve for x
    x = 9,064,420,452.56/71,148.50
  6. Step 6: Final answer
    x = 127,401.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.