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Finding the Third Proportional to 52,311 and 67,165

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Solution

The third proportional to 52,311 and 67,165 is: 86,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,311 : 67,165 = 67,165 : x
  2. Step 2: Convert to fraction form
    52,311/67,165 = 67,165/x
  3. Step 3: Cross multiply
    52,311x = 67,165 × 67,165
  4. Step 4: Simplify right side
    52,311x = 4,511,137,225
  5. Step 5: Solve for x
    x = 4,511,137,225/52,311
  6. Step 6: Final answer
    x = 86,236.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.