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Finding the Third Proportional to 84,024 and 125,874

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Solution

The third proportional to 84,024 and 125,874 is: 188,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 125,874 = 125,874 : x
  2. Step 2: Convert to fraction form
    84,024/125,874 = 125,874/x
  3. Step 3: Cross multiply
    84,024x = 125,874 × 125,874
  4. Step 4: Simplify right side
    84,024x = 15,844,263,876
  5. Step 5: Solve for x
    x = 15,844,263,876/84,024
  6. Step 6: Final answer
    x = 188,568.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.