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Finding the Third Proportional to 100,848 and 167,496

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Solution

The third proportional to 100,848 and 167,496 is: 278,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,848 : 167,496 = 167,496 : x
  2. Step 2: Convert to fraction form
    100,848/167,496 = 167,496/x
  3. Step 3: Cross multiply
    100,848x = 167,496 × 167,496
  4. Step 4: Simplify right side
    100,848x = 28,054,910,016
  5. Step 5: Solve for x
    x = 28,054,910,016/100,848
  6. Step 6: Final answer
    x = 278,190.05

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.