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Finding the Third Proportional to 80,059 and 123,977

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Solution

The third proportional to 80,059 and 123,977 is: 191,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,059 : 123,977 = 123,977 : x
  2. Step 2: Convert to fraction form
    80,059/123,977 = 123,977/x
  3. Step 3: Cross multiply
    80,059x = 123,977 × 123,977
  4. Step 4: Simplify right side
    80,059x = 15,370,296,529
  5. Step 5: Solve for x
    x = 15,370,296,529/80,059
  6. Step 6: Final answer
    x = 191,987.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.