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Finding the Third Proportional to 82,554 and 180,873

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Solution

The third proportional to 82,554 and 180,873 is: 396,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,554 : 180,873 = 180,873 : x
  2. Step 2: Convert to fraction form
    82,554/180,873 = 180,873/x
  3. Step 3: Cross multiply
    82,554x = 180,873 × 180,873
  4. Step 4: Simplify right side
    82,554x = 32,715,042,129
  5. Step 5: Solve for x
    x = 32,715,042,129/82,554
  6. Step 6: Final answer
    x = 396,286.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.