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Finding the Third Proportional to 118.07 and 183.59

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Solution

The third proportional to 118.07 and 183.59 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.07 : 183.59 = 183.59 : x
  2. Step 2: Convert to fraction form
    118.07/183.59 = 183.59/x
  3. Step 3: Cross multiply
    118.07x = 183.59 × 183.59
  4. Step 4: Simplify right side
    118.07x = 33,707.02
  5. Step 5: Solve for x
    x = 33,707.02/118.07
  6. Step 6: Final answer
    x = 285.48

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