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Finding the Third Proportional to 81,739 and 176,000

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Solution

The third proportional to 81,739 and 176,000 is: 378,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,739 : 176,000 = 176,000 : x
  2. Step 2: Convert to fraction form
    81,739/176,000 = 176,000/x
  3. Step 3: Cross multiply
    81,739x = 176,000 × 176,000
  4. Step 4: Simplify right side
    81,739x = 30,976,000,000
  5. Step 5: Solve for x
    x = 30,976,000,000/81,739
  6. Step 6: Final answer
    x = 378,962.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.