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Finding the Third Proportional to 131,217.89 and 267,972.05

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Solution

The third proportional to 131,217.89 and 267,972.05 is: 547,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,217.89 : 267,972.05 = 267,972.05 : x
  2. Step 2: Convert to fraction form
    131,217.89/267,972.05 = 267,972.05/x
  3. Step 3: Cross multiply
    131,217.89x = 267,972.05 × 267,972.05
  4. Step 4: Simplify right side
    131,217.89x = 71,809,017,906.38
  5. Step 5: Solve for x
    x = 71,809,017,906.38/131,217.89
  6. Step 6: Final answer
    x = 547,250.21

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.