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Finding the Third Proportional to 90,696 and 192,372

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Solution

The third proportional to 90,696 and 192,372 is: 408,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,696 : 192,372 = 192,372 : x
  2. Step 2: Convert to fraction form
    90,696/192,372 = 192,372/x
  3. Step 3: Cross multiply
    90,696x = 192,372 × 192,372
  4. Step 4: Simplify right side
    90,696x = 37,006,986,384
  5. Step 5: Solve for x
    x = 37,006,986,384/90,696
  6. Step 6: Final answer
    x = 408,033.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.