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Finding the Third Proportional to 96.75 and 145.38

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Solution

The third proportional to 96.75 and 145.38 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 145.38 = 145.38 : x
  2. Step 2: Convert to fraction form
    96.75/145.38 = 145.38/x
  3. Step 3: Cross multiply
    96.75x = 145.38 × 145.38
  4. Step 4: Simplify right side
    96.75x = 21,133.89
  5. Step 5: Solve for x
    x = 21,133.89/96.75
  6. Step 6: Final answer
    x = 218.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.