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

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Solution

The third proportional to 90,696 and 192,192 is: 407,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,696 : 192,192 = 192,192 : x
  2. Step 2: Convert to fraction form
    90,696/192,192 = 192,192/x
  3. Step 3: Cross multiply
    90,696x = 192,192 × 192,192
  4. Step 4: Simplify right side
    90,696x = 36,937,764,864
  5. Step 5: Solve for x
    x = 36,937,764,864/90,696
  6. Step 6: Final answer
    x = 407,270.05

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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.