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Finding the Third Proportional to 52,199 and 110,878

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Solution

The third proportional to 52,199 and 110,878 is: 235,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,199 : 110,878 = 110,878 : x
  2. Step 2: Convert to fraction form
    52,199/110,878 = 110,878/x
  3. Step 3: Cross multiply
    52,199x = 110,878 × 110,878
  4. Step 4: Simplify right side
    52,199x = 12,293,930,884
  5. Step 5: Solve for x
    x = 12,293,930,884/52,199
  6. Step 6: Final answer
    x = 235,520.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.