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Finding the Third Proportional to 54,821.75 and 118,102.75

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Solution

The third proportional to 54,821.75 and 118,102.75 is: 254,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821.75 : 118,102.75 = 118,102.75 : x
  2. Step 2: Convert to fraction form
    54,821.75/118,102.75 = 118,102.75/x
  3. Step 3: Cross multiply
    54,821.75x = 118,102.75 × 118,102.75
  4. Step 4: Simplify right side
    54,821.75x = 13,948,259,557.56
  5. Step 5: Solve for x
    x = 13,948,259,557.56/54,821.75
  6. Step 6: Final answer
    x = 254,429.30

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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.