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Finding the Third Proportional to 50,974 and 77,923

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Solution

The third proportional to 50,974 and 77,923 is: 119,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974 : 77,923 = 77,923 : x
  2. Step 2: Convert to fraction form
    50,974/77,923 = 77,923/x
  3. Step 3: Cross multiply
    50,974x = 77,923 × 77,923
  4. Step 4: Simplify right side
    50,974x = 6,071,993,929
  5. Step 5: Solve for x
    x = 6,071,993,929/50,974
  6. Step 6: Final answer
    x = 119,119.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.