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Finding the Third Proportional to 122,905 and 168,204

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Solution

The third proportional to 122,905 and 168,204 is: 230,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,905 : 168,204 = 168,204 : x
  2. Step 2: Convert to fraction form
    122,905/168,204 = 168,204/x
  3. Step 3: Cross multiply
    122,905x = 168,204 × 168,204
  4. Step 4: Simplify right side
    122,905x = 28,292,585,616
  5. Step 5: Solve for x
    x = 28,292,585,616/122,905
  6. Step 6: Final answer
    x = 230,198.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.