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Finding the Third Proportional to 62,995 and 97,542

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Solution

The third proportional to 62,995 and 97,542 is: 151,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,995 : 97,542 = 97,542 : x
  2. Step 2: Convert to fraction form
    62,995/97,542 = 97,542/x
  3. Step 3: Cross multiply
    62,995x = 97,542 × 97,542
  4. Step 4: Simplify right side
    62,995x = 9,514,441,764
  5. Step 5: Solve for x
    x = 9,514,441,764/62,995
  6. Step 6: Final answer
    x = 151,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.