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Finding the Third Proportional to 79,857 and 175,917

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Solution

The third proportional to 79,857 and 175,917 is: 387,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,857 : 175,917 = 175,917 : x
  2. Step 2: Convert to fraction form
    79,857/175,917 = 175,917/x
  3. Step 3: Cross multiply
    79,857x = 175,917 × 175,917
  4. Step 4: Simplify right side
    79,857x = 30,946,790,889
  5. Step 5: Solve for x
    x = 30,946,790,889/79,857
  6. Step 6: Final answer
    x = 387,527.59

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