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Finding the Third Proportional to 47,164 and 102,367

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Solution

The third proportional to 47,164 and 102,367 is: 222,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164 : 102,367 = 102,367 : x
  2. Step 2: Convert to fraction form
    47,164/102,367 = 102,367/x
  3. Step 3: Cross multiply
    47,164x = 102,367 × 102,367
  4. Step 4: Simplify right side
    47,164x = 10,479,002,689
  5. Step 5: Solve for x
    x = 10,479,002,689/47,164
  6. Step 6: Final answer
    x = 222,182.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.