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Finding the Third Proportional to 135,229.50 and 192,213

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Solution

The third proportional to 135,229.50 and 192,213 is: 273,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,229.50 : 192,213 = 192,213 : x
  2. Step 2: Convert to fraction form
    135,229.50/192,213 = 192,213/x
  3. Step 3: Cross multiply
    135,229.50x = 192,213 × 192,213
  4. Step 4: Simplify right side
    135,229.50x = 36,945,837,369
  5. Step 5: Solve for x
    x = 36,945,837,369/135,229.50
  6. Step 6: Final answer
    x = 273,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.