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Finding the Third Proportional to 93,885 and 192,144

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Solution

The third proportional to 93,885 and 192,144 is: 393,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,885 : 192,144 = 192,144 : x
  2. Step 2: Convert to fraction form
    93,885/192,144 = 192,144/x
  3. Step 3: Cross multiply
    93,885x = 192,144 × 192,144
  4. Step 4: Simplify right side
    93,885x = 36,919,316,736
  5. Step 5: Solve for x
    x = 36,919,316,736/93,885
  6. Step 6: Final answer
    x = 393,239.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.