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Finding the Third Proportional to 50,911 and 111,859

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Solution

The third proportional to 50,911 and 111,859 is: 245,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,911 : 111,859 = 111,859 : x
  2. Step 2: Convert to fraction form
    50,911/111,859 = 111,859/x
  3. Step 3: Cross multiply
    50,911x = 111,859 × 111,859
  4. Step 4: Simplify right side
    50,911x = 12,512,435,881
  5. Step 5: Solve for x
    x = 12,512,435,881/50,911
  6. Step 6: Final answer
    x = 245,770.77

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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.