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Finding the Third Proportional to 54,886 and 119,816

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Solution

The third proportional to 54,886 and 119,816 is: 261,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886 : 119,816 = 119,816 : x
  2. Step 2: Convert to fraction form
    54,886/119,816 = 119,816/x
  3. Step 3: Cross multiply
    54,886x = 119,816 × 119,816
  4. Step 4: Simplify right side
    54,886x = 14,355,873,856
  5. Step 5: Solve for x
    x = 14,355,873,856/54,886
  6. Step 6: Final answer
    x = 261,558.03

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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.