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Finding the Third Proportional to 40,131 and 61,266

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Solution

The third proportional to 40,131 and 61,266 is: 93,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,131 : 61,266 = 61,266 : x
  2. Step 2: Convert to fraction form
    40,131/61,266 = 61,266/x
  3. Step 3: Cross multiply
    40,131x = 61,266 × 61,266
  4. Step 4: Simplify right side
    40,131x = 3,753,522,756
  5. Step 5: Solve for x
    x = 3,753,522,756/40,131
  6. Step 6: Final answer
    x = 93,531.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.