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Finding the Third Proportional to 43,629 and 69,198

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Solution

The third proportional to 43,629 and 69,198 is: 109,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,629 : 69,198 = 69,198 : x
  2. Step 2: Convert to fraction form
    43,629/69,198 = 69,198/x
  3. Step 3: Cross multiply
    43,629x = 69,198 × 69,198
  4. Step 4: Simplify right side
    43,629x = 4,788,363,204
  5. Step 5: Solve for x
    x = 4,788,363,204/43,629
  6. Step 6: Final answer
    x = 109,751.84

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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.