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Finding the Third Proportional to 45,059 and 65,876

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Solution

The third proportional to 45,059 and 65,876 is: 96,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,059 : 65,876 = 65,876 : x
  2. Step 2: Convert to fraction form
    45,059/65,876 = 65,876/x
  3. Step 3: Cross multiply
    45,059x = 65,876 × 65,876
  4. Step 4: Simplify right side
    45,059x = 4,339,647,376
  5. Step 5: Solve for x
    x = 4,339,647,376/45,059
  6. Step 6: Final answer
    x = 96,310.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.