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Finding the Third Proportional to 50,595.75 and 111,378.75

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Solution

The third proportional to 50,595.75 and 111,378.75 is: 245,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595.75 : 111,378.75 = 111,378.75 : x
  2. Step 2: Convert to fraction form
    50,595.75/111,378.75 = 111,378.75/x
  3. Step 3: Cross multiply
    50,595.75x = 111,378.75 × 111,378.75
  4. Step 4: Simplify right side
    50,595.75x = 12,405,225,951.56
  5. Step 5: Solve for x
    x = 12,405,225,951.56/50,595.75
  6. Step 6: Final answer
    x = 245,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.