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Finding the Third Proportional to 68,956 and 107,201

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Solution

The third proportional to 68,956 and 107,201 is: 166,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,956 : 107,201 = 107,201 : x
  2. Step 2: Convert to fraction form
    68,956/107,201 = 107,201/x
  3. Step 3: Cross multiply
    68,956x = 107,201 × 107,201
  4. Step 4: Simplify right side
    68,956x = 11,492,054,401
  5. Step 5: Solve for x
    x = 11,492,054,401/68,956
  6. Step 6: Final answer
    x = 166,657.79

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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.