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Finding the Third Proportional to 54,123 and 119,927

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Solution

The third proportional to 54,123 and 119,927 is: 265,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,123 : 119,927 = 119,927 : x
  2. Step 2: Convert to fraction form
    54,123/119,927 = 119,927/x
  3. Step 3: Cross multiply
    54,123x = 119,927 × 119,927
  4. Step 4: Simplify right side
    54,123x = 14,382,485,329
  5. Step 5: Solve for x
    x = 14,382,485,329/54,123
  6. Step 6: Final answer
    x = 265,737.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.