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Finding the Third Proportional to 69,732 and 108,126

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Solution

The third proportional to 69,732 and 108,126 is: 167,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,732 : 108,126 = 108,126 : x
  2. Step 2: Convert to fraction form
    69,732/108,126 = 108,126/x
  3. Step 3: Cross multiply
    69,732x = 108,126 × 108,126
  4. Step 4: Simplify right side
    69,732x = 11,691,231,876
  5. Step 5: Solve for x
    x = 11,691,231,876/69,732
  6. Step 6: Final answer
    x = 167,659.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.