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Finding the Third Proportional to 113.75 and 128.38

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Solution

The third proportional to 113.75 and 128.38 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 128.38 = 128.38 : x
  2. Step 2: Convert to fraction form
    113.75/128.38 = 128.38/x
  3. Step 3: Cross multiply
    113.75x = 128.38 × 128.38
  4. Step 4: Simplify right side
    113.75x = 16,480.14
  5. Step 5: Solve for x
    x = 16,480.14/113.75
  6. Step 6: Final answer
    x = 144.88

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.