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Finding the Third Proportional to 62,404 and 81,367

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Solution

The third proportional to 62,404 and 81,367 is: 106,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,404 : 81,367 = 81,367 : x
  2. Step 2: Convert to fraction form
    62,404/81,367 = 81,367/x
  3. Step 3: Cross multiply
    62,404x = 81,367 × 81,367
  4. Step 4: Simplify right side
    62,404x = 6,620,588,689
  5. Step 5: Solve for x
    x = 6,620,588,689/62,404
  6. Step 6: Final answer
    x = 106,092.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.