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Finding the Third Proportional to 133,673 and 188,075

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Solution

The third proportional to 133,673 and 188,075 is: 264,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,673 : 188,075 = 188,075 : x
  2. Step 2: Convert to fraction form
    133,673/188,075 = 188,075/x
  3. Step 3: Cross multiply
    133,673x = 188,075 × 188,075
  4. Step 4: Simplify right side
    133,673x = 35,372,205,625
  5. Step 5: Solve for x
    x = 35,372,205,625/133,673
  6. Step 6: Final answer
    x = 264,617.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.