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Finding the Third Proportional to 41,056 and 87,296

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Solution

The third proportional to 41,056 and 87,296 is: 185,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,056 : 87,296 = 87,296 : x
  2. Step 2: Convert to fraction form
    41,056/87,296 = 87,296/x
  3. Step 3: Cross multiply
    41,056x = 87,296 × 87,296
  4. Step 4: Simplify right side
    41,056x = 7,620,591,616
  5. Step 5: Solve for x
    x = 7,620,591,616/41,056
  6. Step 6: Final answer
    x = 185,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.