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Finding the Third Proportional to 61,198 and 82,367

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Solution

The third proportional to 61,198 and 82,367 is: 110,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198 : 82,367 = 82,367 : x
  2. Step 2: Convert to fraction form
    61,198/82,367 = 82,367/x
  3. Step 3: Cross multiply
    61,198x = 82,367 × 82,367
  4. Step 4: Simplify right side
    61,198x = 6,784,322,689
  5. Step 5: Solve for x
    x = 6,784,322,689/61,198
  6. Step 6: Final answer
    x = 110,858.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.