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Finding the Third Proportional to 62,327.25 and 135,225

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Solution

The third proportional to 62,327.25 and 135,225 is: 293,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,327.25 : 135,225 = 135,225 : x
  2. Step 2: Convert to fraction form
    62,327.25/135,225 = 135,225/x
  3. Step 3: Cross multiply
    62,327.25x = 135,225 × 135,225
  4. Step 4: Simplify right side
    62,327.25x = 18,285,800,625
  5. Step 5: Solve for x
    x = 18,285,800,625/62,327.25
  6. Step 6: Final answer
    x = 293,383.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.