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Finding the Third Proportional to 51,082.75 and 100,855.50

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Solution

The third proportional to 51,082.75 and 100,855.50 is: 199,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082.75 : 100,855.50 = 100,855.50 : x
  2. Step 2: Convert to fraction form
    51,082.75/100,855.50 = 100,855.50/x
  3. Step 3: Cross multiply
    51,082.75x = 100,855.50 × 100,855.50
  4. Step 4: Simplify right side
    51,082.75x = 10,171,831,880.25
  5. Step 5: Solve for x
    x = 10,171,831,880.25/51,082.75
  6. Step 6: Final answer
    x = 199,124.59

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.