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Finding the Third Proportional to 118.75 and 158.25

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Solution

The third proportional to 118.75 and 158.25 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.75 : 158.25 = 158.25 : x
  2. Step 2: Convert to fraction form
    118.75/158.25 = 158.25/x
  3. Step 3: Cross multiply
    118.75x = 158.25 × 158.25
  4. Step 4: Simplify right side
    118.75x = 25,043.06
  5. Step 5: Solve for x
    x = 25,043.06/118.75
  6. Step 6: Final answer
    x = 210.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.