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Finding the Third Proportional to 50,919 and 111,878

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Solution

The third proportional to 50,919 and 111,878 is: 245,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,919 : 111,878 = 111,878 : x
  2. Step 2: Convert to fraction form
    50,919/111,878 = 111,878/x
  3. Step 3: Cross multiply
    50,919x = 111,878 × 111,878
  4. Step 4: Simplify right side
    50,919x = 12,516,686,884
  5. Step 5: Solve for x
    x = 12,516,686,884/50,919
  6. Step 6: Final answer
    x = 245,815.65

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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.