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Finding the Third Proportional to 70.75 and 102.88

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Solution

The third proportional to 70.75 and 102.88 is: 149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 102.88 = 102.88 : x
  2. Step 2: Convert to fraction form
    70.75/102.88 = 102.88/x
  3. Step 3: Cross multiply
    70.75x = 102.88 × 102.88
  4. Step 4: Simplify right side
    70.75x = 10,583.27
  5. Step 5: Solve for x
    x = 10,583.27/70.75
  6. Step 6: Final answer
    x = 149.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.