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Finding the Third Proportional to 119,964 and 179,286

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Solution

The third proportional to 119,964 and 179,286 is: 267,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,964 : 179,286 = 179,286 : x
  2. Step 2: Convert to fraction form
    119,964/179,286 = 179,286/x
  3. Step 3: Cross multiply
    119,964x = 179,286 × 179,286
  4. Step 4: Simplify right side
    119,964x = 32,143,469,796
  5. Step 5: Solve for x
    x = 32,143,469,796/119,964
  6. Step 6: Final answer
    x = 267,942.63

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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.