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Finding the Third Proportional to 41,040 and 87,912

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Solution

The third proportional to 41,040 and 87,912 is: 188,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,040 : 87,912 = 87,912 : x
  2. Step 2: Convert to fraction form
    41,040/87,912 = 87,912/x
  3. Step 3: Cross multiply
    41,040x = 87,912 × 87,912
  4. Step 4: Simplify right side
    41,040x = 7,728,519,744
  5. Step 5: Solve for x
    x = 7,728,519,744/41,040
  6. Step 6: Final answer
    x = 188,316.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.