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Finding the Third Proportional to 87,913.50 and 192,675

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Solution

The third proportional to 87,913.50 and 192,675 is: 422,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,913.50 : 192,675 = 192,675 : x
  2. Step 2: Convert to fraction form
    87,913.50/192,675 = 192,675/x
  3. Step 3: Cross multiply
    87,913.50x = 192,675 × 192,675
  4. Step 4: Simplify right side
    87,913.50x = 37,123,655,625
  5. Step 5: Solve for x
    x = 37,123,655,625/87,913.50
  6. Step 6: Final answer
    x = 422,274.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.