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Finding the Third Proportional to 57,691.50 and 124,167

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Solution

The third proportional to 57,691.50 and 124,167 is: 267,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.50 : 124,167 = 124,167 : x
  2. Step 2: Convert to fraction form
    57,691.50/124,167 = 124,167/x
  3. Step 3: Cross multiply
    57,691.50x = 124,167 × 124,167
  4. Step 4: Simplify right side
    57,691.50x = 15,417,443,889
  5. Step 5: Solve for x
    x = 15,417,443,889/57,691.50
  6. Step 6: Final answer
    x = 267,239.44

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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.