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Finding the Third Proportional to 31,336 and 68,874

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Solution

The third proportional to 31,336 and 68,874 is: 151,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336 : 68,874 = 68,874 : x
  2. Step 2: Convert to fraction form
    31,336/68,874 = 68,874/x
  3. Step 3: Cross multiply
    31,336x = 68,874 × 68,874
  4. Step 4: Simplify right side
    31,336x = 4,743,627,876
  5. Step 5: Solve for x
    x = 4,743,627,876/31,336
  6. Step 6: Final answer
    x = 151,379.50

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