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Finding the Third Proportional to 102 and 225

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Solution

The third proportional to 102 and 225 is: 496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 225 = 225 : x
  2. Step 2: Convert to fraction form
    102/225 = 225/x
  3. Step 3: Cross multiply
    102x = 225 × 225
  4. Step 4: Simplify right side
    102x = 50,625
  5. Step 5: Solve for x
    x = 50,625/102
  6. Step 6: Final answer
    x = 496.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.