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Finding the Third Proportional to 98.44 and 144.14

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Solution

The third proportional to 98.44 and 144.14 is: 211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 144.14 = 144.14 : x
  2. Step 2: Convert to fraction form
    98.44/144.14 = 144.14/x
  3. Step 3: Cross multiply
    98.44x = 144.14 × 144.14
  4. Step 4: Simplify right side
    98.44x = 20,776.52
  5. Step 5: Solve for x
    x = 20,776.52/98.44
  6. Step 6: Final answer
    x = 211.06

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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.