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Finding the Third Proportional to 83.75 and 128.88

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Solution

The third proportional to 83.75 and 128.88 is: 198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 128.88 = 128.88 : x
  2. Step 2: Convert to fraction form
    83.75/128.88 = 128.88/x
  3. Step 3: Cross multiply
    83.75x = 128.88 × 128.88
  4. Step 4: Simplify right side
    83.75x = 16,608.77
  5. Step 5: Solve for x
    x = 16,608.77/83.75
  6. Step 6: Final answer
    x = 198.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.