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Finding the Third Proportional to 31,227.75 and 68,204.25

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Solution

The third proportional to 31,227.75 and 68,204.25 is: 148,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.75 : 68,204.25 = 68,204.25 : x
  2. Step 2: Convert to fraction form
    31,227.75/68,204.25 = 68,204.25/x
  3. Step 3: Cross multiply
    31,227.75x = 68,204.25 × 68,204.25
  4. Step 4: Simplify right side
    31,227.75x = 4,651,819,718.06
  5. Step 5: Solve for x
    x = 4,651,819,718.06/31,227.75
  6. Step 6: Final answer
    x = 148,964.29

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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.