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Finding the Third Proportional to 83,694 and 173,181

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Solution

The third proportional to 83,694 and 173,181 is: 358,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694 : 173,181 = 173,181 : x
  2. Step 2: Convert to fraction form
    83,694/173,181 = 173,181/x
  3. Step 3: Cross multiply
    83,694x = 173,181 × 173,181
  4. Step 4: Simplify right side
    83,694x = 29,991,658,761
  5. Step 5: Solve for x
    x = 29,991,658,761/83,694
  6. Step 6: Final answer
    x = 358,348.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.