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Finding the Third Proportional to 124,938.56 and 182,721.94

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Solution

The third proportional to 124,938.56 and 182,721.94 is: 267,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,938.56 : 182,721.94 = 182,721.94 : x
  2. Step 2: Convert to fraction form
    124,938.56/182,721.94 = 182,721.94/x
  3. Step 3: Cross multiply
    124,938.56x = 182,721.94 × 182,721.94
  4. Step 4: Simplify right side
    124,938.56x = 33,387,306,443.75
  5. Step 5: Solve for x
    x = 33,387,306,443.75/124,938.56
  6. Step 6: Final answer
    x = 267,229.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.