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Finding the Third Proportional to 75.94 and 118.65

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Solution

The third proportional to 75.94 and 118.65 is: 185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 118.65 = 118.65 : x
  2. Step 2: Convert to fraction form
    75.94/118.65 = 118.65/x
  3. Step 3: Cross multiply
    75.94x = 118.65 × 118.65
  4. Step 4: Simplify right side
    75.94x = 14,078.38
  5. Step 5: Solve for x
    x = 14,078.38/75.94
  6. Step 6: Final answer
    x = 185.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.