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Finding the Third Proportional to 84,668 and 181,000

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Solution

The third proportional to 84,668 and 181,000 is: 386,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,668 : 181,000 = 181,000 : x
  2. Step 2: Convert to fraction form
    84,668/181,000 = 181,000/x
  3. Step 3: Cross multiply
    84,668x = 181,000 × 181,000
  4. Step 4: Simplify right side
    84,668x = 32,761,000,000
  5. Step 5: Solve for x
    x = 32,761,000,000/84,668
  6. Step 6: Final answer
    x = 386,934.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.