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Finding the Third Proportional to 87,959 and 192,047

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Solution

The third proportional to 87,959 and 192,047 is: 419,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,959 : 192,047 = 192,047 : x
  2. Step 2: Convert to fraction form
    87,959/192,047 = 192,047/x
  3. Step 3: Cross multiply
    87,959x = 192,047 × 192,047
  4. Step 4: Simplify right side
    87,959x = 36,882,050,209
  5. Step 5: Solve for x
    x = 36,882,050,209/87,959
  6. Step 6: Final answer
    x = 419,309.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.