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Finding the Third Proportional to 74,280.38 and 115,067.25

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Solution

The third proportional to 74,280.38 and 115,067.25 is: 178,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,280.38 : 115,067.25 = 115,067.25 : x
  2. Step 2: Convert to fraction form
    74,280.38/115,067.25 = 115,067.25/x
  3. Step 3: Cross multiply
    74,280.38x = 115,067.25 × 115,067.25
  4. Step 4: Simplify right side
    74,280.38x = 13,240,472,022.56
  5. Step 5: Solve for x
    x = 13,240,472,022.56/74,280.38
  6. Step 6: Final answer
    x = 178,249.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.