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Finding the Third Proportional to 68,958 and 107,204

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Solution

The third proportional to 68,958 and 107,204 is: 166,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,958 : 107,204 = 107,204 : x
  2. Step 2: Convert to fraction form
    68,958/107,204 = 107,204/x
  3. Step 3: Cross multiply
    68,958x = 107,204 × 107,204
  4. Step 4: Simplify right side
    68,958x = 11,492,697,616
  5. Step 5: Solve for x
    x = 11,492,697,616/68,958
  6. Step 6: Final answer
    x = 166,662.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.