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Finding the Third Proportional to 87,538 and 192,096

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Solution

The third proportional to 87,538 and 192,096 is: 421,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 192,096 = 192,096 : x
  2. Step 2: Convert to fraction form
    87,538/192,096 = 192,096/x
  3. Step 3: Cross multiply
    87,538x = 192,096 × 192,096
  4. Step 4: Simplify right side
    87,538x = 36,900,873,216
  5. Step 5: Solve for x
    x = 36,900,873,216/87,538
  6. Step 6: Final answer
    x = 421,541.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.