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Finding the Third Proportional to 54,848 and 119,848

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Solution

The third proportional to 54,848 and 119,848 is: 261,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,848 : 119,848 = 119,848 : x
  2. Step 2: Convert to fraction form
    54,848/119,848 = 119,848/x
  3. Step 3: Cross multiply
    54,848x = 119,848 × 119,848
  4. Step 4: Simplify right side
    54,848x = 14,363,543,104
  5. Step 5: Solve for x
    x = 14,363,543,104/54,848
  6. Step 6: Final answer
    x = 261,879.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.