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Finding the Third Proportional to 31,679.86 and 68,872.78

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Solution

The third proportional to 31,679.86 and 68,872.78 is: 149,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.86 : 68,872.78 = 68,872.78 : x
  2. Step 2: Convert to fraction form
    31,679.86/68,872.78 = 68,872.78/x
  3. Step 3: Cross multiply
    31,679.86x = 68,872.78 × 68,872.78
  4. Step 4: Simplify right side
    31,679.86x = 4,743,459,997.11
  5. Step 5: Solve for x
    x = 4,743,459,997.11/31,679.86
  6. Step 6: Final answer
    x = 149,731.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.