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Finding the Third Proportional to 50,922 and 111,873

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Solution

The third proportional to 50,922 and 111,873 is: 245,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922 : 111,873 = 111,873 : x
  2. Step 2: Convert to fraction form
    50,922/111,873 = 111,873/x
  3. Step 3: Cross multiply
    50,922x = 111,873 × 111,873
  4. Step 4: Simplify right side
    50,922x = 12,515,568,129
  5. Step 5: Solve for x
    x = 12,515,568,129/50,922
  6. Step 6: Final answer
    x = 245,779.19

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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.