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Finding the Third Proportional to 47,676 and 103,653

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Solution

The third proportional to 47,676 and 103,653 is: 225,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676 : 103,653 = 103,653 : x
  2. Step 2: Convert to fraction form
    47,676/103,653 = 103,653/x
  3. Step 3: Cross multiply
    47,676x = 103,653 × 103,653
  4. Step 4: Simplify right side
    47,676x = 10,743,944,409
  5. Step 5: Solve for x
    x = 10,743,944,409/47,676
  6. Step 6: Final answer
    x = 225,353.31

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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.