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Finding the Third Proportional to 57,301.17 and 123,819.89

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Solution

The third proportional to 57,301.17 and 123,819.89 is: 267,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,301.17 : 123,819.89 = 123,819.89 : x
  2. Step 2: Convert to fraction form
    57,301.17/123,819.89 = 123,819.89/x
  3. Step 3: Cross multiply
    57,301.17x = 123,819.89 × 123,819.89
  4. Step 4: Simplify right side
    57,301.17x = 15,331,365,314.39
  5. Step 5: Solve for x
    x = 15,331,365,314.39/57,301.17
  6. Step 6: Final answer
    x = 267,557.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.