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Finding the Third Proportional to 40,961 and 86,293

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Solution

The third proportional to 40,961 and 86,293 is: 181,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,961 : 86,293 = 86,293 : x
  2. Step 2: Convert to fraction form
    40,961/86,293 = 86,293/x
  3. Step 3: Cross multiply
    40,961x = 86,293 × 86,293
  4. Step 4: Simplify right side
    40,961x = 7,446,481,849
  5. Step 5: Solve for x
    x = 7,446,481,849/40,961
  6. Step 6: Final answer
    x = 181,794.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.