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Finding the Third Proportional to 94.78 and 150.89

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Solution

The third proportional to 94.78 and 150.89 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 150.89 = 150.89 : x
  2. Step 2: Convert to fraction form
    94.78/150.89 = 150.89/x
  3. Step 3: Cross multiply
    94.78x = 150.89 × 150.89
  4. Step 4: Simplify right side
    94.78x = 22,767.98
  5. Step 5: Solve for x
    x = 22,767.98/94.78
  6. Step 6: Final answer
    x = 240.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.