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Finding the Third Proportional to 50,311.56 and 104,756.75

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Solution

The third proportional to 50,311.56 and 104,756.75 is: 218,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,311.56 : 104,756.75 = 104,756.75 : x
  2. Step 2: Convert to fraction form
    50,311.56/104,756.75 = 104,756.75/x
  3. Step 3: Cross multiply
    50,311.56x = 104,756.75 × 104,756.75
  4. Step 4: Simplify right side
    50,311.56x = 10,973,976,670.56
  5. Step 5: Solve for x
    x = 10,973,976,670.56/50,311.56
  6. Step 6: Final answer
    x = 218,120.37

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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.