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Finding the Third Proportional to 47,414 and 102,172

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Solution

The third proportional to 47,414 and 102,172 is: 220,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 102,172 = 102,172 : x
  2. Step 2: Convert to fraction form
    47,414/102,172 = 102,172/x
  3. Step 3: Cross multiply
    47,414x = 102,172 × 102,172
  4. Step 4: Simplify right side
    47,414x = 10,439,117,584
  5. Step 5: Solve for x
    x = 10,439,117,584/47,414
  6. Step 6: Final answer
    x = 220,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.