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Finding the Third Proportional to 72.75 and 98.69

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Solution

The third proportional to 72.75 and 98.69 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.75 : 98.69 = 98.69 : x
  2. Step 2: Convert to fraction form
    72.75/98.69 = 98.69/x
  3. Step 3: Cross multiply
    72.75x = 98.69 × 98.69
  4. Step 4: Simplify right side
    72.75x = 9,739.22
  5. Step 5: Solve for x
    x = 9,739.22/72.75
  6. Step 6: Final answer
    x = 133.87

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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.