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Finding the Third Proportional to 100,867 and 151,736

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Solution

The third proportional to 100,867 and 151,736 is: 228,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867 : 151,736 = 151,736 : x
  2. Step 2: Convert to fraction form
    100,867/151,736 = 151,736/x
  3. Step 3: Cross multiply
    100,867x = 151,736 × 151,736
  4. Step 4: Simplify right side
    100,867x = 23,023,813,696
  5. Step 5: Solve for x
    x = 23,023,813,696/100,867
  6. Step 6: Final answer
    x = 228,259.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.