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Finding the Third Proportional to 50,766.75 and 102,764.25

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Solution

The third proportional to 50,766.75 and 102,764.25 is: 208,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766.75 : 102,764.25 = 102,764.25 : x
  2. Step 2: Convert to fraction form
    50,766.75/102,764.25 = 102,764.25/x
  3. Step 3: Cross multiply
    50,766.75x = 102,764.25 × 102,764.25
  4. Step 4: Simplify right side
    50,766.75x = 10,560,491,078.06
  5. Step 5: Solve for x
    x = 10,560,491,078.06/50,766.75
  6. Step 6: Final answer
    x = 208,019.84

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.