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Finding the Third Proportional to 54,903.25 and 119,876

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Solution

The third proportional to 54,903.25 and 119,876 is: 261,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,903.25 : 119,876 = 119,876 : x
  2. Step 2: Convert to fraction form
    54,903.25/119,876 = 119,876/x
  3. Step 3: Cross multiply
    54,903.25x = 119,876 × 119,876
  4. Step 4: Simplify right side
    54,903.25x = 14,370,255,376
  5. Step 5: Solve for x
    x = 14,370,255,376/54,903.25
  6. Step 6: Final answer
    x = 261,737.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.