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Finding the Third Proportional to 54,828 and 119,571.75

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Solution

The third proportional to 54,828 and 119,571.75 is: 260,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828 : 119,571.75 = 119,571.75 : x
  2. Step 2: Convert to fraction form
    54,828/119,571.75 = 119,571.75/x
  3. Step 3: Cross multiply
    54,828x = 119,571.75 × 119,571.75
  4. Step 4: Simplify right side
    54,828x = 14,297,403,398.06
  5. Step 5: Solve for x
    x = 14,297,403,398.06/54,828
  6. Step 6: Final answer
    x = 260,768.28

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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.