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Finding the Third Proportional to 133,829.50 and 181,667

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Solution

The third proportional to 133,829.50 and 181,667 is: 246,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829.50 : 181,667 = 181,667 : x
  2. Step 2: Convert to fraction form
    133,829.50/181,667 = 181,667/x
  3. Step 3: Cross multiply
    133,829.50x = 181,667 × 181,667
  4. Step 4: Simplify right side
    133,829.50x = 33,002,898,889
  5. Step 5: Solve for x
    x = 33,002,898,889/133,829.50
  6. Step 6: Final answer
    x = 246,604.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.