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Finding the Third Proportional to 43,326 and 68,932

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Solution

The third proportional to 43,326 and 68,932 is: 109,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,326 : 68,932 = 68,932 : x
  2. Step 2: Convert to fraction form
    43,326/68,932 = 68,932/x
  3. Step 3: Cross multiply
    43,326x = 68,932 × 68,932
  4. Step 4: Simplify right side
    43,326x = 4,751,620,624
  5. Step 5: Solve for x
    x = 4,751,620,624/43,326
  6. Step 6: Final answer
    x = 109,671.34

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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.