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Finding the Third Proportional to 100,204 and 154,716

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Solution

The third proportional to 100,204 and 154,716 is: 238,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204 : 154,716 = 154,716 : x
  2. Step 2: Convert to fraction form
    100,204/154,716 = 154,716/x
  3. Step 3: Cross multiply
    100,204x = 154,716 × 154,716
  4. Step 4: Simplify right side
    100,204x = 23,937,040,656
  5. Step 5: Solve for x
    x = 23,937,040,656/100,204
  6. Step 6: Final answer
    x = 238,883.09

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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.