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Finding the Third Proportional to 31,254.75 and 68,375.25

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Solution

The third proportional to 31,254.75 and 68,375.25 is: 149,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.75 : 68,375.25 = 68,375.25 : x
  2. Step 2: Convert to fraction form
    31,254.75/68,375.25 = 68,375.25/x
  3. Step 3: Cross multiply
    31,254.75x = 68,375.25 × 68,375.25
  4. Step 4: Simplify right side
    31,254.75x = 4,675,174,812.56
  5. Step 5: Solve for x
    x = 4,675,174,812.56/31,254.75
  6. Step 6: Final answer
    x = 149,582.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.