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Finding the Third Proportional to 71,882.25 and 156,312.75

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Solution

The third proportional to 71,882.25 and 156,312.75 is: 339,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882.25 : 156,312.75 = 156,312.75 : x
  2. Step 2: Convert to fraction form
    71,882.25/156,312.75 = 156,312.75/x
  3. Step 3: Cross multiply
    71,882.25x = 156,312.75 × 156,312.75
  4. Step 4: Simplify right side
    71,882.25x = 24,433,675,812.56
  5. Step 5: Solve for x
    x = 24,433,675,812.56/71,882.25
  6. Step 6: Final answer
    x = 339,912.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.