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Finding the Third Proportional to 31,249 and 68,751

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Solution

The third proportional to 31,249 and 68,751 is: 151,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249 : 68,751 = 68,751 : x
  2. Step 2: Convert to fraction form
    31,249/68,751 = 68,751/x
  3. Step 3: Cross multiply
    31,249x = 68,751 × 68,751
  4. Step 4: Simplify right side
    31,249x = 4,726,700,001
  5. Step 5: Solve for x
    x = 4,726,700,001/31,249
  6. Step 6: Final answer
    x = 151,259.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.