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Finding the Third Proportional to 105,171 and 158,856

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Solution

The third proportional to 105,171 and 158,856 is: 239,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,171 : 158,856 = 158,856 : x
  2. Step 2: Convert to fraction form
    105,171/158,856 = 158,856/x
  3. Step 3: Cross multiply
    105,171x = 158,856 × 158,856
  4. Step 4: Simplify right side
    105,171x = 25,235,228,736
  5. Step 5: Solve for x
    x = 25,235,228,736/105,171
  6. Step 6: Final answer
    x = 239,944.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.