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Finding the Third Proportional to 47,474 and 102,094

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Solution

The third proportional to 47,474 and 102,094 is: 219,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474 : 102,094 = 102,094 : x
  2. Step 2: Convert to fraction form
    47,474/102,094 = 102,094/x
  3. Step 3: Cross multiply
    47,474x = 102,094 × 102,094
  4. Step 4: Simplify right side
    47,474x = 10,423,184,836
  5. Step 5: Solve for x
    x = 10,423,184,836/47,474
  6. Step 6: Final answer
    x = 219,555.65

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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.