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Finding the Third Proportional to 69,684 and 104,682

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Solution

The third proportional to 69,684 and 104,682 is: 157,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 104,682 = 104,682 : x
  2. Step 2: Convert to fraction form
    69,684/104,682 = 104,682/x
  3. Step 3: Cross multiply
    69,684x = 104,682 × 104,682
  4. Step 4: Simplify right side
    69,684x = 10,958,321,124
  5. Step 5: Solve for x
    x = 10,958,321,124/69,684
  6. Step 6: Final answer
    x = 157,257.35

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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.