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Finding the Third Proportional to 107.44 and 145.84

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Solution

The third proportional to 107.44 and 145.84 is: 197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.44 : 145.84 = 145.84 : x
  2. Step 2: Convert to fraction form
    107.44/145.84 = 145.84/x
  3. Step 3: Cross multiply
    107.44x = 145.84 × 145.84
  4. Step 4: Simplify right side
    107.44x = 21,270.40
  5. Step 5: Solve for x
    x = 21,270.40/107.44
  6. Step 6: Final answer
    x = 197.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.