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Finding the Third Proportional to 126,061.31 and 187,302.38

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Solution

The third proportional to 126,061.31 and 187,302.38 is: 278,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,061.31 : 187,302.38 = 187,302.38 : x
  2. Step 2: Convert to fraction form
    126,061.31/187,302.38 = 187,302.38/x
  3. Step 3: Cross multiply
    126,061.31x = 187,302.38 × 187,302.38
  4. Step 4: Simplify right side
    126,061.31x = 35,082,179,680.64
  5. Step 5: Solve for x
    x = 35,082,179,680.64/126,061.31
  6. Step 6: Final answer
    x = 278,294.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.