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Finding the Third Proportional to 50,884 and 112,878

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Solution

The third proportional to 50,884 and 112,878 is: 250,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,884 : 112,878 = 112,878 : x
  2. Step 2: Convert to fraction form
    50,884/112,878 = 112,878/x
  3. Step 3: Cross multiply
    50,884x = 112,878 × 112,878
  4. Step 4: Simplify right side
    50,884x = 12,741,442,884
  5. Step 5: Solve for x
    x = 12,741,442,884/50,884
  6. Step 6: Final answer
    x = 250,401.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.