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Finding the Third Proportional to 34,195 and 75,122

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Solution

The third proportional to 34,195 and 75,122 is: 165,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195 : 75,122 = 75,122 : x
  2. Step 2: Convert to fraction form
    34,195/75,122 = 75,122/x
  3. Step 3: Cross multiply
    34,195x = 75,122 × 75,122
  4. Step 4: Simplify right side
    34,195x = 5,643,314,884
  5. Step 5: Solve for x
    x = 5,643,314,884/34,195
  6. Step 6: Final answer
    x = 165,033.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.