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Finding the Third Proportional to 68,401 and 109,274

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Solution

The third proportional to 68,401 and 109,274 is: 174,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,401 : 109,274 = 109,274 : x
  2. Step 2: Convert to fraction form
    68,401/109,274 = 109,274/x
  3. Step 3: Cross multiply
    68,401x = 109,274 × 109,274
  4. Step 4: Simplify right side
    68,401x = 11,940,807,076
  5. Step 5: Solve for x
    x = 11,940,807,076/68,401
  6. Step 6: Final answer
    x = 174,570.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.