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Finding the Third Proportional to 124,530.75 and 267,202.97

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Solution

The third proportional to 124,530.75 and 267,202.97 is: 573,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,530.75 : 267,202.97 = 267,202.97 : x
  2. Step 2: Convert to fraction form
    124,530.75/267,202.97 = 267,202.97/x
  3. Step 3: Cross multiply
    124,530.75x = 267,202.97 × 267,202.97
  4. Step 4: Simplify right side
    124,530.75x = 71,397,426,508.81
  5. Step 5: Solve for x
    x = 71,397,426,508.81/124,530.75
  6. Step 6: Final answer
    x = 573,331.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.