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Finding the Third Proportional to 41,452 and 89,456

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Solution

The third proportional to 41,452 and 89,456 is: 193,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,452 : 89,456 = 89,456 : x
  2. Step 2: Convert to fraction form
    41,452/89,456 = 89,456/x
  3. Step 3: Cross multiply
    41,452x = 89,456 × 89,456
  4. Step 4: Simplify right side
    41,452x = 8,002,375,936
  5. Step 5: Solve for x
    x = 8,002,375,936/41,452
  6. Step 6: Final answer
    x = 193,051.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.