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Finding the Third Proportional to 62,954 and 135,225

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Solution

The third proportional to 62,954 and 135,225 is: 290,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,954 : 135,225 = 135,225 : x
  2. Step 2: Convert to fraction form
    62,954/135,225 = 135,225/x
  3. Step 3: Cross multiply
    62,954x = 135,225 × 135,225
  4. Step 4: Simplify right side
    62,954x = 18,285,800,625
  5. Step 5: Solve for x
    x = 18,285,800,625/62,954
  6. Step 6: Final answer
    x = 290,462.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.