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Finding the Third Proportional to 81,362 and 168,872

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Solution

The third proportional to 81,362 and 168,872 is: 350,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,362 : 168,872 = 168,872 : x
  2. Step 2: Convert to fraction form
    81,362/168,872 = 168,872/x
  3. Step 3: Cross multiply
    81,362x = 168,872 × 168,872
  4. Step 4: Simplify right side
    81,362x = 28,517,752,384
  5. Step 5: Solve for x
    x = 28,517,752,384/81,362
  6. Step 6: Final answer
    x = 350,504.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.