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Finding the Third Proportional to 82,737 and 180,647

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Solution

The third proportional to 82,737 and 180,647 is: 394,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,737 : 180,647 = 180,647 : x
  2. Step 2: Convert to fraction form
    82,737/180,647 = 180,647/x
  3. Step 3: Cross multiply
    82,737x = 180,647 × 180,647
  4. Step 4: Simplify right side
    82,737x = 32,633,338,609
  5. Step 5: Solve for x
    x = 32,633,338,609/82,737
  6. Step 6: Final answer
    x = 394,422.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.