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Finding the Third Proportional to 90,664 and 136,075

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Solution

The third proportional to 90,664 and 136,075 is: 204,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,664 : 136,075 = 136,075 : x
  2. Step 2: Convert to fraction form
    90,664/136,075 = 136,075/x
  3. Step 3: Cross multiply
    90,664x = 136,075 × 136,075
  4. Step 4: Simplify right side
    90,664x = 18,516,405,625
  5. Step 5: Solve for x
    x = 18,516,405,625/90,664
  6. Step 6: Final answer
    x = 204,231.07

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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.