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Finding the Third Proportional to 31,120.13 and 68,287.25

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Solution

The third proportional to 31,120.13 and 68,287.25 is: 149,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.13 : 68,287.25 = 68,287.25 : x
  2. Step 2: Convert to fraction form
    31,120.13/68,287.25 = 68,287.25/x
  3. Step 3: Cross multiply
    31,120.13x = 68,287.25 × 68,287.25
  4. Step 4: Simplify right side
    31,120.13x = 4,663,148,512.56
  5. Step 5: Solve for x
    x = 4,663,148,512.56/31,120.13
  6. Step 6: Final answer
    x = 149,843.50

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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.