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Finding the Third Proportional to 54,091 and 118,838

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Solution

The third proportional to 54,091 and 118,838 is: 261,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,091 : 118,838 = 118,838 : x
  2. Step 2: Convert to fraction form
    54,091/118,838 = 118,838/x
  3. Step 3: Cross multiply
    54,091x = 118,838 × 118,838
  4. Step 4: Simplify right side
    54,091x = 14,122,470,244
  5. Step 5: Solve for x
    x = 14,122,470,244/54,091
  6. Step 6: Final answer
    x = 261,087.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.