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Finding the Third Proportional to 50,544 and 73,974

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Solution

The third proportional to 50,544 and 73,974 is: 108,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,544 : 73,974 = 73,974 : x
  2. Step 2: Convert to fraction form
    50,544/73,974 = 73,974/x
  3. Step 3: Cross multiply
    50,544x = 73,974 × 73,974
  4. Step 4: Simplify right side
    50,544x = 5,472,152,676
  5. Step 5: Solve for x
    x = 5,472,152,676/50,544
  6. Step 6: Final answer
    x = 108,265.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.