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Finding the Third Proportional to 83,677 and 127,479

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Solution

The third proportional to 83,677 and 127,479 is: 194,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,677 : 127,479 = 127,479 : x
  2. Step 2: Convert to fraction form
    83,677/127,479 = 127,479/x
  3. Step 3: Cross multiply
    83,677x = 127,479 × 127,479
  4. Step 4: Simplify right side
    83,677x = 16,250,895,441
  5. Step 5: Solve for x
    x = 16,250,895,441/83,677
  6. Step 6: Final answer
    x = 194,209.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.