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Finding the Third Proportional to 54,067.50 and 115,607.25

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Solution

The third proportional to 54,067.50 and 115,607.25 is: 247,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,067.50 : 115,607.25 = 115,607.25 : x
  2. Step 2: Convert to fraction form
    54,067.50/115,607.25 = 115,607.25/x
  3. Step 3: Cross multiply
    54,067.50x = 115,607.25 × 115,607.25
  4. Step 4: Simplify right side
    54,067.50x = 13,365,036,252.56
  5. Step 5: Solve for x
    x = 13,365,036,252.56/54,067.50
  6. Step 6: Final answer
    x = 247,191.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.