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Finding the Third Proportional to 62,122 and 82,766

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Solution

The third proportional to 62,122 and 82,766 is: 110,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,122 : 82,766 = 82,766 : x
  2. Step 2: Convert to fraction form
    62,122/82,766 = 82,766/x
  3. Step 3: Cross multiply
    62,122x = 82,766 × 82,766
  4. Step 4: Simplify right side
    62,122x = 6,850,210,756
  5. Step 5: Solve for x
    x = 6,850,210,756/62,122
  6. Step 6: Final answer
    x = 110,270.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.