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Finding the Third Proportional to 54,213.75 and 120,042

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Solution

The third proportional to 54,213.75 and 120,042 is: 265,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213.75 : 120,042 = 120,042 : x
  2. Step 2: Convert to fraction form
    54,213.75/120,042 = 120,042/x
  3. Step 3: Cross multiply
    54,213.75x = 120,042 × 120,042
  4. Step 4: Simplify right side
    54,213.75x = 14,410,081,764
  5. Step 5: Solve for x
    x = 14,410,081,764/54,213.75
  6. Step 6: Final answer
    x = 265,801.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.