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Finding the Third Proportional to 87,603 and 192,161

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Solution

The third proportional to 87,603 and 192,161 is: 421,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,603 : 192,161 = 192,161 : x
  2. Step 2: Convert to fraction form
    87,603/192,161 = 192,161/x
  3. Step 3: Cross multiply
    87,603x = 192,161 × 192,161
  4. Step 4: Simplify right side
    87,603x = 36,925,849,921
  5. Step 5: Solve for x
    x = 36,925,849,921/87,603
  6. Step 6: Final answer
    x = 421,513.53

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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.