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Finding the Third Proportional to 57,604.50 and 133,440.75

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Solution

The third proportional to 57,604.50 and 133,440.75 is: 309,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,604.50 : 133,440.75 = 133,440.75 : x
  2. Step 2: Convert to fraction form
    57,604.50/133,440.75 = 133,440.75/x
  3. Step 3: Cross multiply
    57,604.50x = 133,440.75 × 133,440.75
  4. Step 4: Simplify right side
    57,604.50x = 17,806,433,760.56
  5. Step 5: Solve for x
    x = 17,806,433,760.56/57,604.50
  6. Step 6: Final answer
    x = 309,115.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.