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Finding the Third Proportional to 83,642 and 125,451

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Solution

The third proportional to 83,642 and 125,451 is: 188,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642 : 125,451 = 125,451 : x
  2. Step 2: Convert to fraction form
    83,642/125,451 = 125,451/x
  3. Step 3: Cross multiply
    83,642x = 125,451 × 125,451
  4. Step 4: Simplify right side
    83,642x = 15,737,953,401
  5. Step 5: Solve for x
    x = 15,737,953,401/83,642
  6. Step 6: Final answer
    x = 188,158.50

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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.