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Finding the Third Proportional to 40,222 and 86,676

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Solution

The third proportional to 40,222 and 86,676 is: 186,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,222 : 86,676 = 86,676 : x
  2. Step 2: Convert to fraction form
    40,222/86,676 = 86,676/x
  3. Step 3: Cross multiply
    40,222x = 86,676 × 86,676
  4. Step 4: Simplify right side
    40,222x = 7,512,728,976
  5. Step 5: Solve for x
    x = 7,512,728,976/40,222
  6. Step 6: Final answer
    x = 186,781.59

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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.