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Finding the Third Proportional to 31,252 and 68,757

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Solution

The third proportional to 31,252 and 68,757 is: 151,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 68,757 = 68,757 : x
  2. Step 2: Convert to fraction form
    31,252/68,757 = 68,757/x
  3. Step 3: Cross multiply
    31,252x = 68,757 × 68,757
  4. Step 4: Simplify right side
    31,252x = 4,727,525,049
  5. Step 5: Solve for x
    x = 4,727,525,049/31,252
  6. Step 6: Final answer
    x = 151,271.12

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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.