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Finding the Third Proportional to 41,728 and 86,907

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Solution

The third proportional to 41,728 and 86,907 is: 181,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728 : 86,907 = 86,907 : x
  2. Step 2: Convert to fraction form
    41,728/86,907 = 86,907/x
  3. Step 3: Cross multiply
    41,728x = 86,907 × 86,907
  4. Step 4: Simplify right side
    41,728x = 7,552,826,649
  5. Step 5: Solve for x
    x = 7,552,826,649/41,728
  6. Step 6: Final answer
    x = 181,001.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.