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Finding the Third Proportional to 63,147 and 135,049

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Solution

The third proportional to 63,147 and 135,049 is: 288,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,147 : 135,049 = 135,049 : x
  2. Step 2: Convert to fraction form
    63,147/135,049 = 135,049/x
  3. Step 3: Cross multiply
    63,147x = 135,049 × 135,049
  4. Step 4: Simplify right side
    63,147x = 18,238,232,401
  5. Step 5: Solve for x
    x = 18,238,232,401/63,147
  6. Step 6: Final answer
    x = 288,821.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.