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Finding the Third Proportional to 69,678 and 106,147

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Solution

The third proportional to 69,678 and 106,147 is: 161,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,678 : 106,147 = 106,147 : x
  2. Step 2: Convert to fraction form
    69,678/106,147 = 106,147/x
  3. Step 3: Cross multiply
    69,678x = 106,147 × 106,147
  4. Step 4: Simplify right side
    69,678x = 11,267,185,609
  5. Step 5: Solve for x
    x = 11,267,185,609/69,678
  6. Step 6: Final answer
    x = 161,703.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.