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Finding the Third Proportional to 90,717 and 192,414

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Solution

The third proportional to 90,717 and 192,414 is: 408,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717 : 192,414 = 192,414 : x
  2. Step 2: Convert to fraction form
    90,717/192,414 = 192,414/x
  3. Step 3: Cross multiply
    90,717x = 192,414 × 192,414
  4. Step 4: Simplify right side
    90,717x = 37,023,147,396
  5. Step 5: Solve for x
    x = 37,023,147,396/90,717
  6. Step 6: Final answer
    x = 408,116.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.