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Finding the Third Proportional to 31,860 and 68,904

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Solution

The third proportional to 31,860 and 68,904 is: 149,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860 : 68,904 = 68,904 : x
  2. Step 2: Convert to fraction form
    31,860/68,904 = 68,904/x
  3. Step 3: Cross multiply
    31,860x = 68,904 × 68,904
  4. Step 4: Simplify right side
    31,860x = 4,747,761,216
  5. Step 5: Solve for x
    x = 4,747,761,216/31,860
  6. Step 6: Final answer
    x = 149,019.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.