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Finding the Third Proportional to 67,831 and 99,785

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Solution

The third proportional to 67,831 and 99,785 is: 146,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,831 : 99,785 = 99,785 : x
  2. Step 2: Convert to fraction form
    67,831/99,785 = 99,785/x
  3. Step 3: Cross multiply
    67,831x = 99,785 × 99,785
  4. Step 4: Simplify right side
    67,831x = 9,957,046,225
  5. Step 5: Solve for x
    x = 9,957,046,225/67,831
  6. Step 6: Final answer
    x = 146,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.