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Finding the Third Proportional to 100,323 and 149,994

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Solution

The third proportional to 100,323 and 149,994 is: 224,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,323 : 149,994 = 149,994 : x
  2. Step 2: Convert to fraction form
    100,323/149,994 = 149,994/x
  3. Step 3: Cross multiply
    100,323x = 149,994 × 149,994
  4. Step 4: Simplify right side
    100,323x = 22,498,200,036
  5. Step 5: Solve for x
    x = 22,498,200,036/100,323
  6. Step 6: Final answer
    x = 224,257.65

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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.