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Finding the Third Proportional to 62,682 and 137,766

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Solution

The third proportional to 62,682 and 137,766 is: 302,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,682 : 137,766 = 137,766 : x
  2. Step 2: Convert to fraction form
    62,682/137,766 = 137,766/x
  3. Step 3: Cross multiply
    62,682x = 137,766 × 137,766
  4. Step 4: Simplify right side
    62,682x = 18,979,470,756
  5. Step 5: Solve for x
    x = 18,979,470,756/62,682
  6. Step 6: Final answer
    x = 302,789.81

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Why These Related Problems?

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