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Finding the Third Proportional to 40,125 and 62,098

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Solution

The third proportional to 40,125 and 62,098 is: 96,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125 : 62,098 = 62,098 : x
  2. Step 2: Convert to fraction form
    40,125/62,098 = 62,098/x
  3. Step 3: Cross multiply
    40,125x = 62,098 × 62,098
  4. Step 4: Simplify right side
    40,125x = 3,856,161,604
  5. Step 5: Solve for x
    x = 3,856,161,604/40,125
  6. Step 6: Final answer
    x = 96,103.72

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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.