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Finding the Third Proportional to 87,874.50 and 191,787

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Solution

The third proportional to 87,874.50 and 191,787 is: 418,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874.50 : 191,787 = 191,787 : x
  2. Step 2: Convert to fraction form
    87,874.50/191,787 = 191,787/x
  3. Step 3: Cross multiply
    87,874.50x = 191,787 × 191,787
  4. Step 4: Simplify right side
    87,874.50x = 36,782,253,369
  5. Step 5: Solve for x
    x = 36,782,253,369/87,874.50
  6. Step 6: Final answer
    x = 418,577.10

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Why These Related Problems?

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