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Finding the Third Proportional to 54,086 and 115,204

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Solution

The third proportional to 54,086 and 115,204 is: 245,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086 : 115,204 = 115,204 : x
  2. Step 2: Convert to fraction form
    54,086/115,204 = 115,204/x
  3. Step 3: Cross multiply
    54,086x = 115,204 × 115,204
  4. Step 4: Simplify right side
    54,086x = 13,271,961,616
  5. Step 5: Solve for x
    x = 13,271,961,616/54,086
  6. Step 6: Final answer
    x = 245,386.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.