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Finding the Third Proportional to 69,906 and 111,193

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Solution

The third proportional to 69,906 and 111,193 is: 176,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,906 : 111,193 = 111,193 : x
  2. Step 2: Convert to fraction form
    69,906/111,193 = 111,193/x
  3. Step 3: Cross multiply
    69,906x = 111,193 × 111,193
  4. Step 4: Simplify right side
    69,906x = 12,363,883,249
  5. Step 5: Solve for x
    x = 12,363,883,249/69,906
  6. Step 6: Final answer
    x = 176,864.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.