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Finding the Third Proportional to 50,906 and 111,851

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Solution

The third proportional to 50,906 and 111,851 is: 245,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906 : 111,851 = 111,851 : x
  2. Step 2: Convert to fraction form
    50,906/111,851 = 111,851/x
  3. Step 3: Cross multiply
    50,906x = 111,851 × 111,851
  4. Step 4: Simplify right side
    50,906x = 12,510,646,201
  5. Step 5: Solve for x
    x = 12,510,646,201/50,906
  6. Step 6: Final answer
    x = 245,759.76

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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.