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Finding the Third Proportional to 87,874.88 and 131,599.69

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Solution

The third proportional to 87,874.88 and 131,599.69 is: 197,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874.88 : 131,599.69 = 131,599.69 : x
  2. Step 2: Convert to fraction form
    87,874.88/131,599.69 = 131,599.69/x
  3. Step 3: Cross multiply
    87,874.88x = 131,599.69 × 131,599.69
  4. Step 4: Simplify right side
    87,874.88x = 17,318,477,750.10
  5. Step 5: Solve for x
    x = 17,318,477,750.10/87,874.88
  6. Step 6: Final answer
    x = 197,081.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.