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Finding the Third Proportional to 69,673 and 104,667

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Solution

The third proportional to 69,673 and 104,667 is: 157,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,673 : 104,667 = 104,667 : x
  2. Step 2: Convert to fraction form
    69,673/104,667 = 104,667/x
  3. Step 3: Cross multiply
    69,673x = 104,667 × 104,667
  4. Step 4: Simplify right side
    69,673x = 10,955,180,889
  5. Step 5: Solve for x
    x = 10,955,180,889/69,673
  6. Step 6: Final answer
    x = 157,237.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.