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Finding the Third Proportional to 54,234 and 117,241

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Solution

The third proportional to 54,234 and 117,241 is: 253,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234 : 117,241 = 117,241 : x
  2. Step 2: Convert to fraction form
    54,234/117,241 = 117,241/x
  3. Step 3: Cross multiply
    54,234x = 117,241 × 117,241
  4. Step 4: Simplify right side
    54,234x = 13,745,452,081
  5. Step 5: Solve for x
    x = 13,745,452,081/54,234
  6. Step 6: Final answer
    x = 253,447.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.