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Finding the Third Proportional to 108,978 and 166,636

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Solution

The third proportional to 108,978 and 166,636 is: 254,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,978 : 166,636 = 166,636 : x
  2. Step 2: Convert to fraction form
    108,978/166,636 = 166,636/x
  3. Step 3: Cross multiply
    108,978x = 166,636 × 166,636
  4. Step 4: Simplify right side
    108,978x = 27,767,556,496
  5. Step 5: Solve for x
    x = 27,767,556,496/108,978
  6. Step 6: Final answer
    x = 254,799.65

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