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Finding the Third Proportional to 31,676.06 and 68,227.31

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Solution

The third proportional to 31,676.06 and 68,227.31 is: 146,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.06 : 68,227.31 = 68,227.31 : x
  2. Step 2: Convert to fraction form
    31,676.06/68,227.31 = 68,227.31/x
  3. Step 3: Cross multiply
    31,676.06x = 68,227.31 × 68,227.31
  4. Step 4: Simplify right side
    31,676.06x = 4,654,966,170.97
  5. Step 5: Solve for x
    x = 4,654,966,170.97/31,676.06
  6. Step 6: Final answer
    x = 146,955.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.