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Finding the Third Proportional to 90.75 and 128.88

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Solution

The third proportional to 90.75 and 128.88 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 128.88 = 128.88 : x
  2. Step 2: Convert to fraction form
    90.75/128.88 = 128.88/x
  3. Step 3: Cross multiply
    90.75x = 128.88 × 128.88
  4. Step 4: Simplify right side
    90.75x = 16,608.77
  5. Step 5: Solve for x
    x = 16,608.77/90.75
  6. Step 6: Final answer
    x = 183.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.