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Finding the Third Proportional to 87,195 and 131,433

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Solution

The third proportional to 87,195 and 131,433 is: 198,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,195 : 131,433 = 131,433 : x
  2. Step 2: Convert to fraction form
    87,195/131,433 = 131,433/x
  3. Step 3: Cross multiply
    87,195x = 131,433 × 131,433
  4. Step 4: Simplify right side
    87,195x = 17,274,633,489
  5. Step 5: Solve for x
    x = 17,274,633,489/87,195
  6. Step 6: Final answer
    x = 198,114.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.