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Finding the Third Proportional to 100,170 and 149,937

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Solution

The third proportional to 100,170 and 149,937 is: 224,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170 : 149,937 = 149,937 : x
  2. Step 2: Convert to fraction form
    100,170/149,937 = 149,937/x
  3. Step 3: Cross multiply
    100,170x = 149,937 × 149,937
  4. Step 4: Simplify right side
    100,170x = 22,481,103,969
  5. Step 5: Solve for x
    x = 22,481,103,969/100,170
  6. Step 6: Final answer
    x = 224,429.51

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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.