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Finding the Third Proportional to 108,966 and 166,620

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Solution

The third proportional to 108,966 and 166,620 is: 254,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,966 : 166,620 = 166,620 : x
  2. Step 2: Convert to fraction form
    108,966/166,620 = 166,620/x
  3. Step 3: Cross multiply
    108,966x = 166,620 × 166,620
  4. Step 4: Simplify right side
    108,966x = 27,762,224,400
  5. Step 5: Solve for x
    x = 27,762,224,400/108,966
  6. Step 6: Final answer
    x = 254,778.78

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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.