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Finding the Third Proportional to 87,654 and 192,876

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Solution

The third proportional to 87,654 and 192,876 is: 424,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,654 : 192,876 = 192,876 : x
  2. Step 2: Convert to fraction form
    87,654/192,876 = 192,876/x
  3. Step 3: Cross multiply
    87,654x = 192,876 × 192,876
  4. Step 4: Simplify right side
    87,654x = 37,201,151,376
  5. Step 5: Solve for x
    x = 37,201,151,376/87,654
  6. Step 6: Final answer
    x = 424,409.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.