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Finding the Third Proportional to 67,452.38 and 97,449

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Solution

The third proportional to 67,452.38 and 97,449 is: 140,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,452.38 : 97,449 = 97,449 : x
  2. Step 2: Convert to fraction form
    67,452.38/97,449 = 97,449/x
  3. Step 3: Cross multiply
    67,452.38x = 97,449 × 97,449
  4. Step 4: Simplify right side
    67,452.38x = 9,496,307,601
  5. Step 5: Solve for x
    x = 9,496,307,601/67,452.38
  6. Step 6: Final answer
    x = 140,785.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.