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Finding the Third Proportional to 71,224.25 and 151,982.50

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Solution

The third proportional to 71,224.25 and 151,982.50 is: 324,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224.25 : 151,982.50 = 151,982.50 : x
  2. Step 2: Convert to fraction form
    71,224.25/151,982.50 = 151,982.50/x
  3. Step 3: Cross multiply
    71,224.25x = 151,982.50 × 151,982.50
  4. Step 4: Simplify right side
    71,224.25x = 23,098,680,306.25
  5. Step 5: Solve for x
    x = 23,098,680,306.25/71,224.25
  6. Step 6: Final answer
    x = 324,309.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.