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Finding the Third Proportional to 54,884 and 118,089

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Solution

The third proportional to 54,884 and 118,089 is: 254,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,884 : 118,089 = 118,089 : x
  2. Step 2: Convert to fraction form
    54,884/118,089 = 118,089/x
  3. Step 3: Cross multiply
    54,884x = 118,089 × 118,089
  4. Step 4: Simplify right side
    54,884x = 13,945,011,921
  5. Step 5: Solve for x
    x = 13,945,011,921/54,884
  6. Step 6: Final answer
    x = 254,081.55

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Why These Related Problems?

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