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Finding the Third Proportional to 90,204 and 192,924

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Solution

The third proportional to 90,204 and 192,924 is: 412,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,204 : 192,924 = 192,924 : x
  2. Step 2: Convert to fraction form
    90,204/192,924 = 192,924/x
  3. Step 3: Cross multiply
    90,204x = 192,924 × 192,924
  4. Step 4: Simplify right side
    90,204x = 37,219,669,776
  5. Step 5: Solve for x
    x = 37,219,669,776/90,204
  6. Step 6: Final answer
    x = 412,616.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.