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Finding the Third Proportional to 80,057 and 123,974

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Solution

The third proportional to 80,057 and 123,974 is: 191,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,057 : 123,974 = 123,974 : x
  2. Step 2: Convert to fraction form
    80,057/123,974 = 123,974/x
  3. Step 3: Cross multiply
    80,057x = 123,974 × 123,974
  4. Step 4: Simplify right side
    80,057x = 15,369,552,676
  5. Step 5: Solve for x
    x = 15,369,552,676/80,057
  6. Step 6: Final answer
    x = 191,982.62

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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.