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Finding the Third Proportional to 40,941 and 85,383

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Solution

The third proportional to 40,941 and 85,383 is: 178,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 85,383 = 85,383 : x
  2. Step 2: Convert to fraction form
    40,941/85,383 = 85,383/x
  3. Step 3: Cross multiply
    40,941x = 85,383 × 85,383
  4. Step 4: Simplify right side
    40,941x = 7,290,256,689
  5. Step 5: Solve for x
    x = 7,290,256,689/40,941
  6. Step 6: Final answer
    x = 178,067.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.