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Finding the Third Proportional to 100,344 and 154,926

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Solution

The third proportional to 100,344 and 154,926 is: 239,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344 : 154,926 = 154,926 : x
  2. Step 2: Convert to fraction form
    100,344/154,926 = 154,926/x
  3. Step 3: Cross multiply
    100,344x = 154,926 × 154,926
  4. Step 4: Simplify right side
    100,344x = 24,002,065,476
  5. Step 5: Solve for x
    x = 24,002,065,476/100,344
  6. Step 6: Final answer
    x = 239,197.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.