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Finding the Third Proportional to 100,768 and 150,625

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Solution

The third proportional to 100,768 and 150,625 is: 225,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,768 : 150,625 = 150,625 : x
  2. Step 2: Convert to fraction form
    100,768/150,625 = 150,625/x
  3. Step 3: Cross multiply
    100,768x = 150,625 × 150,625
  4. Step 4: Simplify right side
    100,768x = 22,687,890,625
  5. Step 5: Solve for x
    x = 22,687,890,625/100,768
  6. Step 6: Final answer
    x = 225,149.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.