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Finding the Third Proportional to 109,179 and 166,683

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Solution

The third proportional to 109,179 and 166,683 is: 254,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,179 : 166,683 = 166,683 : x
  2. Step 2: Convert to fraction form
    109,179/166,683 = 166,683/x
  3. Step 3: Cross multiply
    109,179x = 166,683 × 166,683
  4. Step 4: Simplify right side
    109,179x = 27,783,222,489
  5. Step 5: Solve for x
    x = 27,783,222,489/109,179
  6. Step 6: Final answer
    x = 254,474.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.