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Finding the Third Proportional to 57,404 and 123,604

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Solution

The third proportional to 57,404 and 123,604 is: 266,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,404 : 123,604 = 123,604 : x
  2. Step 2: Convert to fraction form
    57,404/123,604 = 123,604/x
  3. Step 3: Cross multiply
    57,404x = 123,604 × 123,604
  4. Step 4: Simplify right side
    57,404x = 15,277,948,816
  5. Step 5: Solve for x
    x = 15,277,948,816/57,404
  6. Step 6: Final answer
    x = 266,147.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.