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Finding the Third Proportional to 89,075 and 133,180

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Solution

The third proportional to 89,075 and 133,180 is: 199,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,075 : 133,180 = 133,180 : x
  2. Step 2: Convert to fraction form
    89,075/133,180 = 133,180/x
  3. Step 3: Cross multiply
    89,075x = 133,180 × 133,180
  4. Step 4: Simplify right side
    89,075x = 17,736,912,400
  5. Step 5: Solve for x
    x = 17,736,912,400/89,075
  6. Step 6: Final answer
    x = 199,123.35

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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.