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Finding the Third Proportional to 94.88 and 128.81

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Solution

The third proportional to 94.88 and 128.81 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.88 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    94.88/128.81 = 128.81/x
  3. Step 3: Cross multiply
    94.88x = 128.81 × 128.81
  4. Step 4: Simplify right side
    94.88x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/94.88
  6. Step 6: Final answer
    x = 174.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.