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Finding the Third Proportional to 50,529.75 and 107,220.75

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Solution

The third proportional to 50,529.75 and 107,220.75 is: 227,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,529.75 : 107,220.75 = 107,220.75 : x
  2. Step 2: Convert to fraction form
    50,529.75/107,220.75 = 107,220.75/x
  3. Step 3: Cross multiply
    50,529.75x = 107,220.75 × 107,220.75
  4. Step 4: Simplify right side
    50,529.75x = 11,496,289,230.56
  5. Step 5: Solve for x
    x = 11,496,289,230.56/50,529.75
  6. Step 6: Final answer
    x = 227,515.26

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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.