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Finding the Third Proportional to 50,882 and 111,860

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Solution

The third proportional to 50,882 and 111,860 is: 245,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882 : 111,860 = 111,860 : x
  2. Step 2: Convert to fraction form
    50,882/111,860 = 111,860/x
  3. Step 3: Cross multiply
    50,882x = 111,860 × 111,860
  4. Step 4: Simplify right side
    50,882x = 12,512,659,600
  5. Step 5: Solve for x
    x = 12,512,659,600/50,882
  6. Step 6: Final answer
    x = 245,915.25

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