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Finding the Third Proportional to 47,667 and 102,723

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Solution

The third proportional to 47,667 and 102,723 is: 221,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667 : 102,723 = 102,723 : x
  2. Step 2: Convert to fraction form
    47,667/102,723 = 102,723/x
  3. Step 3: Cross multiply
    47,667x = 102,723 × 102,723
  4. Step 4: Simplify right side
    47,667x = 10,552,014,729
  5. Step 5: Solve for x
    x = 10,552,014,729/47,667
  6. Step 6: Final answer
    x = 221,369.39

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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.