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Finding the Third Proportional to 50,199 and 104,559.75

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Solution

The third proportional to 50,199 and 104,559.75 is: 217,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199 : 104,559.75 = 104,559.75 : x
  2. Step 2: Convert to fraction form
    50,199/104,559.75 = 104,559.75/x
  3. Step 3: Cross multiply
    50,199x = 104,559.75 × 104,559.75
  4. Step 4: Simplify right side
    50,199x = 10,932,741,320.06
  5. Step 5: Solve for x
    x = 10,932,741,320.06/50,199
  6. Step 6: Final answer
    x = 217,788.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.