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Finding the Third Proportional to 47,709 and 104,976

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Solution

The third proportional to 47,709 and 104,976 is: 230,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 104,976 = 104,976 : x
  2. Step 2: Convert to fraction form
    47,709/104,976 = 104,976/x
  3. Step 3: Cross multiply
    47,709x = 104,976 × 104,976
  4. Step 4: Simplify right side
    47,709x = 11,019,960,576
  5. Step 5: Solve for x
    x = 11,019,960,576/47,709
  6. Step 6: Final answer
    x = 230,982.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.