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Finding the Third Proportional to 133,255.50 and 176,067

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Solution

The third proportional to 133,255.50 and 176,067 is: 232,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,255.50 : 176,067 = 176,067 : x
  2. Step 2: Convert to fraction form
    133,255.50/176,067 = 176,067/x
  3. Step 3: Cross multiply
    133,255.50x = 176,067 × 176,067
  4. Step 4: Simplify right side
    133,255.50x = 30,999,588,489
  5. Step 5: Solve for x
    x = 30,999,588,489/133,255.50
  6. Step 6: Final answer
    x = 232,632.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.