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Finding the Third Proportional to 31,707 and 69,687

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Solution

The third proportional to 31,707 and 69,687 is: 153,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 69,687 = 69,687 : x
  2. Step 2: Convert to fraction form
    31,707/69,687 = 69,687/x
  3. Step 3: Cross multiply
    31,707x = 69,687 × 69,687
  4. Step 4: Simplify right side
    31,707x = 4,856,277,969
  5. Step 5: Solve for x
    x = 4,856,277,969/31,707
  6. Step 6: Final answer
    x = 153,161.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.