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Finding the Third Proportional to 40,208 and 87,866

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Solution

The third proportional to 40,208 and 87,866 is: 192,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,208 : 87,866 = 87,866 : x
  2. Step 2: Convert to fraction form
    40,208/87,866 = 87,866/x
  3. Step 3: Cross multiply
    40,208x = 87,866 × 87,866
  4. Step 4: Simplify right side
    40,208x = 7,720,433,956
  5. Step 5: Solve for x
    x = 7,720,433,956/40,208
  6. Step 6: Final answer
    x = 192,012.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.