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Finding the Third Proportional to 119,976 and 179,302

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Solution

The third proportional to 119,976 and 179,302 is: 267,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 179,302 = 179,302 : x
  2. Step 2: Convert to fraction form
    119,976/179,302 = 179,302/x
  3. Step 3: Cross multiply
    119,976x = 179,302 × 179,302
  4. Step 4: Simplify right side
    119,976x = 32,149,207,204
  5. Step 5: Solve for x
    x = 32,149,207,204/119,976
  6. Step 6: Final answer
    x = 267,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.