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Finding the Third Proportional to 90,684 and 192,144

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Solution

The third proportional to 90,684 and 192,144 is: 407,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,684 : 192,144 = 192,144 : x
  2. Step 2: Convert to fraction form
    90,684/192,144 = 192,144/x
  3. Step 3: Cross multiply
    90,684x = 192,144 × 192,144
  4. Step 4: Simplify right side
    90,684x = 36,919,316,736
  5. Step 5: Solve for x
    x = 36,919,316,736/90,684
  6. Step 6: Final answer
    x = 407,120.51

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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.