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Finding the Third Proportional to 54,760.50 and 121,408.75

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Solution

The third proportional to 54,760.50 and 121,408.75 is: 269,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,760.50 : 121,408.75 = 121,408.75 : x
  2. Step 2: Convert to fraction form
    54,760.50/121,408.75 = 121,408.75/x
  3. Step 3: Cross multiply
    54,760.50x = 121,408.75 × 121,408.75
  4. Step 4: Simplify right side
    54,760.50x = 14,740,084,576.56
  5. Step 5: Solve for x
    x = 14,740,084,576.56/54,760.50
  6. Step 6: Final answer
    x = 269,173.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.