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Finding the Third Proportional to 41,182 and 62,112

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Solution

The third proportional to 41,182 and 62,112 is: 93,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,182 : 62,112 = 62,112 : x
  2. Step 2: Convert to fraction form
    41,182/62,112 = 62,112/x
  3. Step 3: Cross multiply
    41,182x = 62,112 × 62,112
  4. Step 4: Simplify right side
    41,182x = 3,857,900,544
  5. Step 5: Solve for x
    x = 3,857,900,544/41,182
  6. Step 6: Final answer
    x = 93,679.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.