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Finding the Third Proportional to 43,108 and 60,846

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Solution

The third proportional to 43,108 and 60,846 is: 85,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,108 : 60,846 = 60,846 : x
  2. Step 2: Convert to fraction form
    43,108/60,846 = 60,846/x
  3. Step 3: Cross multiply
    43,108x = 60,846 × 60,846
  4. Step 4: Simplify right side
    43,108x = 3,702,235,716
  5. Step 5: Solve for x
    x = 3,702,235,716/43,108
  6. Step 6: Final answer
    x = 85,882.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.