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Finding the Third Proportional to 31,279.50 and 68,067

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Solution

The third proportional to 31,279.50 and 68,067 is: 148,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.50 : 68,067 = 68,067 : x
  2. Step 2: Convert to fraction form
    31,279.50/68,067 = 68,067/x
  3. Step 3: Cross multiply
    31,279.50x = 68,067 × 68,067
  4. Step 4: Simplify right side
    31,279.50x = 4,633,116,489
  5. Step 5: Solve for x
    x = 4,633,116,489/31,279.50
  6. Step 6: Final answer
    x = 148,119.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.