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Finding the Third Proportional to 105,881 and 168,542

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Solution

The third proportional to 105,881 and 168,542 is: 268,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,881 : 168,542 = 168,542 : x
  2. Step 2: Convert to fraction form
    105,881/168,542 = 168,542/x
  3. Step 3: Cross multiply
    105,881x = 168,542 × 168,542
  4. Step 4: Simplify right side
    105,881x = 28,406,405,764
  5. Step 5: Solve for x
    x = 28,406,405,764/105,881
  6. Step 6: Final answer
    x = 268,286.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.