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Finding the Third Proportional to 31,944 and 68,267

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Solution

The third proportional to 31,944 and 68,267 is: 145,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944 : 68,267 = 68,267 : x
  2. Step 2: Convert to fraction form
    31,944/68,267 = 68,267/x
  3. Step 3: Cross multiply
    31,944x = 68,267 × 68,267
  4. Step 4: Simplify right side
    31,944x = 4,660,383,289
  5. Step 5: Solve for x
    x = 4,660,383,289/31,944
  6. Step 6: Final answer
    x = 145,892.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.