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Finding the Third Proportional to 41,226 and 89,812

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Solution

The third proportional to 41,226 and 89,812 is: 195,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226 : 89,812 = 89,812 : x
  2. Step 2: Convert to fraction form
    41,226/89,812 = 89,812/x
  3. Step 3: Cross multiply
    41,226x = 89,812 × 89,812
  4. Step 4: Simplify right side
    41,226x = 8,066,195,344
  5. Step 5: Solve for x
    x = 8,066,195,344/41,226
  6. Step 6: Final answer
    x = 195,657.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.