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Finding the Third Proportional to 81,512 and 166,480

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Solution

The third proportional to 81,512 and 166,480 is: 340,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,512 : 166,480 = 166,480 : x
  2. Step 2: Convert to fraction form
    81,512/166,480 = 166,480/x
  3. Step 3: Cross multiply
    81,512x = 166,480 × 166,480
  4. Step 4: Simplify right side
    81,512x = 27,715,590,400
  5. Step 5: Solve for x
    x = 27,715,590,400/81,512
  6. Step 6: Final answer
    x = 340,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.