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Finding the Third Proportional to 60,682 and 126,215

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Solution

The third proportional to 60,682 and 126,215 is: 262,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,682 : 126,215 = 126,215 : x
  2. Step 2: Convert to fraction form
    60,682/126,215 = 126,215/x
  3. Step 3: Cross multiply
    60,682x = 126,215 × 126,215
  4. Step 4: Simplify right side
    60,682x = 15,930,226,225
  5. Step 5: Solve for x
    x = 15,930,226,225/60,682
  6. Step 6: Final answer
    x = 262,519.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.