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Finding the Third Proportional to 72.25 and 133.25

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Solution

The third proportional to 72.25 and 133.25 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 133.25 = 133.25 : x
  2. Step 2: Convert to fraction form
    72.25/133.25 = 133.25/x
  3. Step 3: Cross multiply
    72.25x = 133.25 × 133.25
  4. Step 4: Simplify right side
    72.25x = 17,755.56
  5. Step 5: Solve for x
    x = 17,755.56/72.25
  6. Step 6: Final answer
    x = 245.75

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.