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Finding the Third Proportional to 82,192 and 177,048

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Solution

The third proportional to 82,192 and 177,048 is: 381,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,192 : 177,048 = 177,048 : x
  2. Step 2: Convert to fraction form
    82,192/177,048 = 177,048/x
  3. Step 3: Cross multiply
    82,192x = 177,048 × 177,048
  4. Step 4: Simplify right side
    82,192x = 31,345,994,304
  5. Step 5: Solve for x
    x = 31,345,994,304/82,192
  6. Step 6: Final answer
    x = 381,375.25

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Why These Related Problems?

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