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Finding the Third Proportional to 31,284.56 and 68,521.78

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Solution

The third proportional to 31,284.56 and 68,521.78 is: 150,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284.56 : 68,521.78 = 68,521.78 : x
  2. Step 2: Convert to fraction form
    31,284.56/68,521.78 = 68,521.78/x
  3. Step 3: Cross multiply
    31,284.56x = 68,521.78 × 68,521.78
  4. Step 4: Simplify right side
    31,284.56x = 4,695,234,505.67
  5. Step 5: Solve for x
    x = 4,695,234,505.67/31,284.56
  6. Step 6: Final answer
    x = 150,081.51

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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.