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Finding the Third Proportional to 79,933.50 and 133,218

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Solution

The third proportional to 79,933.50 and 133,218 is: 222,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,933.50 : 133,218 = 133,218 : x
  2. Step 2: Convert to fraction form
    79,933.50/133,218 = 133,218/x
  3. Step 3: Cross multiply
    79,933.50x = 133,218 × 133,218
  4. Step 4: Simplify right side
    79,933.50x = 17,747,035,524
  5. Step 5: Solve for x
    x = 17,747,035,524/79,933.50
  6. Step 6: Final answer
    x = 222,022.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.