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Finding the Third Proportional to 129,882 and 195,204

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Solution

The third proportional to 129,882 and 195,204 is: 293,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,882 : 195,204 = 195,204 : x
  2. Step 2: Convert to fraction form
    129,882/195,204 = 195,204/x
  3. Step 3: Cross multiply
    129,882x = 195,204 × 195,204
  4. Step 4: Simplify right side
    129,882x = 38,104,601,616
  5. Step 5: Solve for x
    x = 38,104,601,616/129,882
  6. Step 6: Final answer
    x = 293,378.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.