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Finding the Third Proportional to 82,885 and 180,952

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Solution

The third proportional to 82,885 and 180,952 is: 395,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,885 : 180,952 = 180,952 : x
  2. Step 2: Convert to fraction form
    82,885/180,952 = 180,952/x
  3. Step 3: Cross multiply
    82,885x = 180,952 × 180,952
  4. Step 4: Simplify right side
    82,885x = 32,743,626,304
  5. Step 5: Solve for x
    x = 32,743,626,304/82,885
  6. Step 6: Final answer
    x = 395,048.88

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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.