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Finding the Third Proportional to 47,675 and 102,847

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Solution

The third proportional to 47,675 and 102,847 is: 221,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675 : 102,847 = 102,847 : x
  2. Step 2: Convert to fraction form
    47,675/102,847 = 102,847/x
  3. Step 3: Cross multiply
    47,675x = 102,847 × 102,847
  4. Step 4: Simplify right side
    47,675x = 10,577,505,409
  5. Step 5: Solve for x
    x = 10,577,505,409/47,675
  6. Step 6: Final answer
    x = 221,866.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.