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Finding the Third Proportional to 54,197 and 118,195

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Solution

The third proportional to 54,197 and 118,195 is: 257,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197 : 118,195 = 118,195 : x
  2. Step 2: Convert to fraction form
    54,197/118,195 = 118,195/x
  3. Step 3: Cross multiply
    54,197x = 118,195 × 118,195
  4. Step 4: Simplify right side
    54,197x = 13,970,058,025
  5. Step 5: Solve for x
    x = 13,970,058,025/54,197
  6. Step 6: Final answer
    x = 257,764.42

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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.