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Finding the Third Proportional to 54,194 and 110,644

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Solution

The third proportional to 54,194 and 110,644 is: 225,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,194 : 110,644 = 110,644 : x
  2. Step 2: Convert to fraction form
    54,194/110,644 = 110,644/x
  3. Step 3: Cross multiply
    54,194x = 110,644 × 110,644
  4. Step 4: Simplify right side
    54,194x = 12,242,094,736
  5. Step 5: Solve for x
    x = 12,242,094,736/54,194
  6. Step 6: Final answer
    x = 225,893.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.