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Finding the Third Proportional to 69.28 and 100.88

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Solution

The third proportional to 69.28 and 100.88 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 100.88 = 100.88 : x
  2. Step 2: Convert to fraction form
    69.28/100.88 = 100.88/x
  3. Step 3: Cross multiply
    69.28x = 100.88 × 100.88
  4. Step 4: Simplify right side
    69.28x = 10,175.77
  5. Step 5: Solve for x
    x = 10,175.77/69.28
  6. Step 6: Final answer
    x = 146.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.