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Finding the Third Proportional to 123,802 and 192,171

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Solution

The third proportional to 123,802 and 192,171 is: 298,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802 : 192,171 = 192,171 : x
  2. Step 2: Convert to fraction form
    123,802/192,171 = 192,171/x
  3. Step 3: Cross multiply
    123,802x = 192,171 × 192,171
  4. Step 4: Simplify right side
    123,802x = 36,929,693,241
  5. Step 5: Solve for x
    x = 36,929,693,241/123,802
  6. Step 6: Final answer
    x = 298,296.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.