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Finding the Third Proportional to 75,616.17 and 116,067.94

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Solution

The third proportional to 75,616.17 and 116,067.94 is: 178,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.17 : 116,067.94 = 116,067.94 : x
  2. Step 2: Convert to fraction form
    75,616.17/116,067.94 = 116,067.94/x
  3. Step 3: Cross multiply
    75,616.17x = 116,067.94 × 116,067.94
  4. Step 4: Simplify right side
    75,616.17x = 13,471,766,115.50
  5. Step 5: Solve for x
    x = 13,471,766,115.50/75,616.17
  6. Step 6: Final answer
    x = 178,159.85

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Why These Related Problems?

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