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Finding the Third Proportional to 43,659 and 69,903

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Solution

The third proportional to 43,659 and 69,903 is: 111,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,659 : 69,903 = 69,903 : x
  2. Step 2: Convert to fraction form
    43,659/69,903 = 69,903/x
  3. Step 3: Cross multiply
    43,659x = 69,903 × 69,903
  4. Step 4: Simplify right side
    43,659x = 4,886,429,409
  5. Step 5: Solve for x
    x = 4,886,429,409/43,659
  6. Step 6: Final answer
    x = 111,922.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.