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Finding the Third Proportional to 27,181 and 59,881

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Solution

The third proportional to 27,181 and 59,881 is: 131,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181 : 59,881 = 59,881 : x
  2. Step 2: Convert to fraction form
    27,181/59,881 = 59,881/x
  3. Step 3: Cross multiply
    27,181x = 59,881 × 59,881
  4. Step 4: Simplify right side
    27,181x = 3,585,734,161
  5. Step 5: Solve for x
    x = 3,585,734,161/27,181
  6. Step 6: Final answer
    x = 131,920.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.