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Finding the Third Proportional to 49,093.59 and 75,067.78

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Solution

The third proportional to 49,093.59 and 75,067.78 is: 114,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093.59 : 75,067.78 = 75,067.78 : x
  2. Step 2: Convert to fraction form
    49,093.59/75,067.78 = 75,067.78/x
  3. Step 3: Cross multiply
    49,093.59x = 75,067.78 × 75,067.78
  4. Step 4: Simplify right side
    49,093.59x = 5,635,171,341.95
  5. Step 5: Solve for x
    x = 5,635,171,341.95/49,093.59
  6. Step 6: Final answer
    x = 114,784.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.