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Finding the Third Proportional to 31,434.75 and 68,519.25

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Solution

The third proportional to 31,434.75 and 68,519.25 is: 149,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.75 : 68,519.25 = 68,519.25 : x
  2. Step 2: Convert to fraction form
    31,434.75/68,519.25 = 68,519.25/x
  3. Step 3: Cross multiply
    31,434.75x = 68,519.25 × 68,519.25
  4. Step 4: Simplify right side
    31,434.75x = 4,694,887,620.56
  5. Step 5: Solve for x
    x = 4,694,887,620.56/31,434.75
  6. Step 6: Final answer
    x = 149,353.43

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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.