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Finding the Third Proportional to 41,967 and 85,873

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Solution

The third proportional to 41,967 and 85,873 is: 175,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,967 : 85,873 = 85,873 : x
  2. Step 2: Convert to fraction form
    41,967/85,873 = 85,873/x
  3. Step 3: Cross multiply
    41,967x = 85,873 × 85,873
  4. Step 4: Simplify right side
    41,967x = 7,374,172,129
  5. Step 5: Solve for x
    x = 7,374,172,129/41,967
  6. Step 6: Final answer
    x = 175,713.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.