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Finding the Third Proportional to 54,836 and 117,990

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Solution

The third proportional to 54,836 and 117,990 is: 253,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836 : 117,990 = 117,990 : x
  2. Step 2: Convert to fraction form
    54,836/117,990 = 117,990/x
  3. Step 3: Cross multiply
    54,836x = 117,990 × 117,990
  4. Step 4: Simplify right side
    54,836x = 13,921,640,100
  5. Step 5: Solve for x
    x = 13,921,640,100/54,836
  6. Step 6: Final answer
    x = 253,877.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.