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Finding the Third Proportional to 41,910 and 85,035

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Solution

The third proportional to 41,910 and 85,035 is: 172,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,910 : 85,035 = 85,035 : x
  2. Step 2: Convert to fraction form
    41,910/85,035 = 85,035/x
  3. Step 3: Cross multiply
    41,910x = 85,035 × 85,035
  4. Step 4: Simplify right side
    41,910x = 7,230,951,225
  5. Step 5: Solve for x
    x = 7,230,951,225/41,910
  6. Step 6: Final answer
    x = 172,535.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.