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Finding the Third Proportional to 54,708.75 and 113,208.75

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Solution

The third proportional to 54,708.75 and 113,208.75 is: 234,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.75 : 113,208.75 = 113,208.75 : x
  2. Step 2: Convert to fraction form
    54,708.75/113,208.75 = 113,208.75/x
  3. Step 3: Cross multiply
    54,708.75x = 113,208.75 × 113,208.75
  4. Step 4: Simplify right side
    54,708.75x = 12,816,221,076.56
  5. Step 5: Solve for x
    x = 12,816,221,076.56/54,708.75
  6. Step 6: Final answer
    x = 234,262.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.