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Finding the Third Proportional to 87,518 and 131,250

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Solution

The third proportional to 87,518 and 131,250 is: 196,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,518 : 131,250 = 131,250 : x
  2. Step 2: Convert to fraction form
    87,518/131,250 = 131,250/x
  3. Step 3: Cross multiply
    87,518x = 131,250 × 131,250
  4. Step 4: Simplify right side
    87,518x = 17,226,562,500
  5. Step 5: Solve for x
    x = 17,226,562,500/87,518
  6. Step 6: Final answer
    x = 196,834.51

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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.