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Finding the Third Proportional to 101,104 and 154,874

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Solution

The third proportional to 101,104 and 154,874 is: 237,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,104 : 154,874 = 154,874 : x
  2. Step 2: Convert to fraction form
    101,104/154,874 = 154,874/x
  3. Step 3: Cross multiply
    101,104x = 154,874 × 154,874
  4. Step 4: Simplify right side
    101,104x = 23,985,955,876
  5. Step 5: Solve for x
    x = 23,985,955,876/101,104
  6. Step 6: Final answer
    x = 237,240.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.