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Finding the Third Proportional to 94.50 and 148.50

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Solution

The third proportional to 94.50 and 148.50 is: 233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 148.50 = 148.50 : x
  2. Step 2: Convert to fraction form
    94.50/148.50 = 148.50/x
  3. Step 3: Cross multiply
    94.50x = 148.50 × 148.50
  4. Step 4: Simplify right side
    94.50x = 22,052.25
  5. Step 5: Solve for x
    x = 22,052.25/94.50
  6. Step 6: Final answer
    x = 233.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.