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Finding the Third Proportional to 83,193 and 147,918

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Solution

The third proportional to 83,193 and 147,918 is: 262,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193 : 147,918 = 147,918 : x
  2. Step 2: Convert to fraction form
    83,193/147,918 = 147,918/x
  3. Step 3: Cross multiply
    83,193x = 147,918 × 147,918
  4. Step 4: Simplify right side
    83,193x = 21,879,734,724
  5. Step 5: Solve for x
    x = 21,879,734,724/83,193
  6. Step 6: Final answer
    x = 262,999.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.