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Finding the Third Proportional to 54,939 and 117,654

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Solution

The third proportional to 54,939 and 117,654 is: 251,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,939 : 117,654 = 117,654 : x
  2. Step 2: Convert to fraction form
    54,939/117,654 = 117,654/x
  3. Step 3: Cross multiply
    54,939x = 117,654 × 117,654
  4. Step 4: Simplify right side
    54,939x = 13,842,463,716
  5. Step 5: Solve for x
    x = 13,842,463,716/54,939
  6. Step 6: Final answer
    x = 251,960.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.