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Finding the Third Proportional to 108,512 and 166,980

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Solution

The third proportional to 108,512 and 166,980 is: 256,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,512 : 166,980 = 166,980 : x
  2. Step 2: Convert to fraction form
    108,512/166,980 = 166,980/x
  3. Step 3: Cross multiply
    108,512x = 166,980 × 166,980
  4. Step 4: Simplify right side
    108,512x = 27,882,320,400
  5. Step 5: Solve for x
    x = 27,882,320,400/108,512
  6. Step 6: Final answer
    x = 256,951.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.