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Finding the Third Proportional to 79,508 and 111,441

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Solution

The third proportional to 79,508 and 111,441 is: 156,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,508 : 111,441 = 111,441 : x
  2. Step 2: Convert to fraction form
    79,508/111,441 = 111,441/x
  3. Step 3: Cross multiply
    79,508x = 111,441 × 111,441
  4. Step 4: Simplify right side
    79,508x = 12,419,096,481
  5. Step 5: Solve for x
    x = 12,419,096,481/79,508
  6. Step 6: Final answer
    x = 156,199.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.