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Finding the Third Proportional to 82,542 and 192,867

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Solution

The third proportional to 82,542 and 192,867 is: 450,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,542 : 192,867 = 192,867 : x
  2. Step 2: Convert to fraction form
    82,542/192,867 = 192,867/x
  3. Step 3: Cross multiply
    82,542x = 192,867 × 192,867
  4. Step 4: Simplify right side
    82,542x = 37,197,679,689
  5. Step 5: Solve for x
    x = 37,197,679,689/82,542
  6. Step 6: Final answer
    x = 450,651.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.