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Finding the Third Proportional to 54,305 and 115,165

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Solution

The third proportional to 54,305 and 115,165 is: 244,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,305 : 115,165 = 115,165 : x
  2. Step 2: Convert to fraction form
    54,305/115,165 = 115,165/x
  3. Step 3: Cross multiply
    54,305x = 115,165 × 115,165
  4. Step 4: Simplify right side
    54,305x = 13,262,977,225
  5. Step 5: Solve for x
    x = 13,262,977,225/54,305
  6. Step 6: Final answer
    x = 244,231.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.