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Finding the Third Proportional to 84,544 and 126,552

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Solution

The third proportional to 84,544 and 126,552 is: 189,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,544 : 126,552 = 126,552 : x
  2. Step 2: Convert to fraction form
    84,544/126,552 = 126,552/x
  3. Step 3: Cross multiply
    84,544x = 126,552 × 126,552
  4. Step 4: Simplify right side
    84,544x = 16,015,408,704
  5. Step 5: Solve for x
    x = 16,015,408,704/84,544
  6. Step 6: Final answer
    x = 189,432.82

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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.