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Finding the Third Proportional to 50,568.75 and 110,856.75

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Solution

The third proportional to 50,568.75 and 110,856.75 is: 243,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,568.75 : 110,856.75 = 110,856.75 : x
  2. Step 2: Convert to fraction form
    50,568.75/110,856.75 = 110,856.75/x
  3. Step 3: Cross multiply
    50,568.75x = 110,856.75 × 110,856.75
  4. Step 4: Simplify right side
    50,568.75x = 12,289,219,020.56
  5. Step 5: Solve for x
    x = 12,289,219,020.56/50,568.75
  6. Step 6: Final answer
    x = 243,020.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.