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Finding the Third Proportional to 31,727 and 68,239

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Solution

The third proportional to 31,727 and 68,239 is: 146,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727 : 68,239 = 68,239 : x
  2. Step 2: Convert to fraction form
    31,727/68,239 = 68,239/x
  3. Step 3: Cross multiply
    31,727x = 68,239 × 68,239
  4. Step 4: Simplify right side
    31,727x = 4,656,561,121
  5. Step 5: Solve for x
    x = 4,656,561,121/31,727
  6. Step 6: Final answer
    x = 146,769.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.