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Finding the Third Proportional to 40,934 and 87,847

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Solution

The third proportional to 40,934 and 87,847 is: 188,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,934 : 87,847 = 87,847 : x
  2. Step 2: Convert to fraction form
    40,934/87,847 = 87,847/x
  3. Step 3: Cross multiply
    40,934x = 87,847 × 87,847
  4. Step 4: Simplify right side
    40,934x = 7,717,095,409
  5. Step 5: Solve for x
    x = 7,717,095,409/40,934
  6. Step 6: Final answer
    x = 188,525.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.