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Finding the Third Proportional to 68,391 and 108,204

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Solution

The third proportional to 68,391 and 108,204 is: 171,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,391 : 108,204 = 108,204 : x
  2. Step 2: Convert to fraction form
    68,391/108,204 = 108,204/x
  3. Step 3: Cross multiply
    68,391x = 108,204 × 108,204
  4. Step 4: Simplify right side
    68,391x = 11,708,105,616
  5. Step 5: Solve for x
    x = 11,708,105,616/68,391
  6. Step 6: Final answer
    x = 171,193.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.