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Finding the Third Proportional to 31,740 and 68,766

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Solution

The third proportional to 31,740 and 68,766 is: 148,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740 : 68,766 = 68,766 : x
  2. Step 2: Convert to fraction form
    31,740/68,766 = 68,766/x
  3. Step 3: Cross multiply
    31,740x = 68,766 × 68,766
  4. Step 4: Simplify right side
    31,740x = 4,728,762,756
  5. Step 5: Solve for x
    x = 4,728,762,756/31,740
  6. Step 6: Final answer
    x = 148,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.