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Finding the Third Proportional to 47,171 and 102,670

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Solution

The third proportional to 47,171 and 102,670 is: 223,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,171 : 102,670 = 102,670 : x
  2. Step 2: Convert to fraction form
    47,171/102,670 = 102,670/x
  3. Step 3: Cross multiply
    47,171x = 102,670 × 102,670
  4. Step 4: Simplify right side
    47,171x = 10,541,128,900
  5. Step 5: Solve for x
    x = 10,541,128,900/47,171
  6. Step 6: Final answer
    x = 223,466.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.