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Finding the Third Proportional to 69,279 and 105,012

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Solution

The third proportional to 69,279 and 105,012 is: 159,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,279 : 105,012 = 105,012 : x
  2. Step 2: Convert to fraction form
    69,279/105,012 = 105,012/x
  3. Step 3: Cross multiply
    69,279x = 105,012 × 105,012
  4. Step 4: Simplify right side
    69,279x = 11,027,520,144
  5. Step 5: Solve for x
    x = 11,027,520,144/69,279
  6. Step 6: Final answer
    x = 159,175.51

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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.