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Finding the Third Proportional to 50,111 and 107,974

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Solution

The third proportional to 50,111 and 107,974 is: 232,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,111 : 107,974 = 107,974 : x
  2. Step 2: Convert to fraction form
    50,111/107,974 = 107,974/x
  3. Step 3: Cross multiply
    50,111x = 107,974 × 107,974
  4. Step 4: Simplify right side
    50,111x = 11,658,384,676
  5. Step 5: Solve for x
    x = 11,658,384,676/50,111
  6. Step 6: Final answer
    x = 232,651.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.