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Finding the Third Proportional to 50,172 and 108,981

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Solution

The third proportional to 50,172 and 108,981 is: 236,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172 : 108,981 = 108,981 : x
  2. Step 2: Convert to fraction form
    50,172/108,981 = 108,981/x
  3. Step 3: Cross multiply
    50,172x = 108,981 × 108,981
  4. Step 4: Simplify right side
    50,172x = 11,876,858,361
  5. Step 5: Solve for x
    x = 11,876,858,361/50,172
  6. Step 6: Final answer
    x = 236,722.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.