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Finding the Third Proportional to 57,301.38 and 123,820.38

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Solution

The third proportional to 57,301.38 and 123,820.38 is: 267,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,301.38 : 123,820.38 = 123,820.38 : x
  2. Step 2: Convert to fraction form
    57,301.38/123,820.38 = 123,820.38/x
  3. Step 3: Cross multiply
    57,301.38x = 123,820.38 × 123,820.38
  4. Step 4: Simplify right side
    57,301.38x = 15,331,485,265.14
  5. Step 5: Solve for x
    x = 15,331,485,265.14/57,301.38
  6. Step 6: Final answer
    x = 267,558.77

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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.