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Finding the Third Proportional to 43,302 and 68,652

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Solution

The third proportional to 43,302 and 68,652 is: 108,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,302 : 68,652 = 68,652 : x
  2. Step 2: Convert to fraction form
    43,302/68,652 = 68,652/x
  3. Step 3: Cross multiply
    43,302x = 68,652 × 68,652
  4. Step 4: Simplify right side
    43,302x = 4,713,097,104
  5. Step 5: Solve for x
    x = 4,713,097,104/43,302
  6. Step 6: Final answer
    x = 108,842.48

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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.