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Finding the Third Proportional to 87,515 and 191,974

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Solution

The third proportional to 87,515 and 191,974 is: 421,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,515 : 191,974 = 191,974 : x
  2. Step 2: Convert to fraction form
    87,515/191,974 = 191,974/x
  3. Step 3: Cross multiply
    87,515x = 191,974 × 191,974
  4. Step 4: Simplify right side
    87,515x = 36,854,016,676
  5. Step 5: Solve for x
    x = 36,854,016,676/87,515
  6. Step 6: Final answer
    x = 421,116.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.