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Finding the Third Proportional to 108,832 and 166,373

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Solution

The third proportional to 108,832 and 166,373 is: 254,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,832 : 166,373 = 166,373 : x
  2. Step 2: Convert to fraction form
    108,832/166,373 = 166,373/x
  3. Step 3: Cross multiply
    108,832x = 166,373 × 166,373
  4. Step 4: Simplify right side
    108,832x = 27,679,975,129
  5. Step 5: Solve for x
    x = 27,679,975,129/108,832
  6. Step 6: Final answer
    x = 254,336.73

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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.