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Finding the Third Proportional to 54,843.75 and 116,607.75

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Solution

The third proportional to 54,843.75 and 116,607.75 is: 247,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.75 : 116,607.75 = 116,607.75 : x
  2. Step 2: Convert to fraction form
    54,843.75/116,607.75 = 116,607.75/x
  3. Step 3: Cross multiply
    54,843.75x = 116,607.75 × 116,607.75
  4. Step 4: Simplify right side
    54,843.75x = 13,597,367,360.06
  5. Step 5: Solve for x
    x = 13,597,367,360.06/54,843.75
  6. Step 6: Final answer
    x = 247,929.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.