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Finding the Third Proportional to 47,686 and 104,707

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Solution

The third proportional to 47,686 and 104,707 is: 229,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686 : 104,707 = 104,707 : x
  2. Step 2: Convert to fraction form
    47,686/104,707 = 104,707/x
  3. Step 3: Cross multiply
    47,686x = 104,707 × 104,707
  4. Step 4: Simplify right side
    47,686x = 10,963,555,849
  5. Step 5: Solve for x
    x = 10,963,555,849/47,686
  6. Step 6: Final answer
    x = 229,911.42

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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.