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Finding the Third Proportional to 54,104 and 118,042

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Solution

The third proportional to 54,104 and 118,042 is: 257,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,104 : 118,042 = 118,042 : x
  2. Step 2: Convert to fraction form
    54,104/118,042 = 118,042/x
  3. Step 3: Cross multiply
    54,104x = 118,042 × 118,042
  4. Step 4: Simplify right side
    54,104x = 13,933,913,764
  5. Step 5: Solve for x
    x = 13,933,913,764/54,104
  6. Step 6: Final answer
    x = 257,539.44

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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.