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Finding the Third Proportional to 31,941 and 67,193

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Solution

The third proportional to 31,941 and 67,193 is: 141,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941 : 67,193 = 67,193 : x
  2. Step 2: Convert to fraction form
    31,941/67,193 = 67,193/x
  3. Step 3: Cross multiply
    31,941x = 67,193 × 67,193
  4. Step 4: Simplify right side
    31,941x = 4,514,899,249
  5. Step 5: Solve for x
    x = 4,514,899,249/31,941
  6. Step 6: Final answer
    x = 141,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.