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Finding the Third Proportional to 41,624 and 90,317

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Solution

The third proportional to 41,624 and 90,317 is: 195,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,624 : 90,317 = 90,317 : x
  2. Step 2: Convert to fraction form
    41,624/90,317 = 90,317/x
  3. Step 3: Cross multiply
    41,624x = 90,317 × 90,317
  4. Step 4: Simplify right side
    41,624x = 8,157,160,489
  5. Step 5: Solve for x
    x = 8,157,160,489/41,624
  6. Step 6: Final answer
    x = 195,972.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.