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Finding the Third Proportional to 133,075 and 199,087

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Solution

The third proportional to 133,075 and 199,087 is: 297,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 199,087 = 199,087 : x
  2. Step 2: Convert to fraction form
    133,075/199,087 = 199,087/x
  3. Step 3: Cross multiply
    133,075x = 199,087 × 199,087
  4. Step 4: Simplify right side
    133,075x = 39,635,633,569
  5. Step 5: Solve for x
    x = 39,635,633,569/133,075
  6. Step 6: Final answer
    x = 297,844.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.