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Finding the Third Proportional to 52,104 and 122,874

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Solution

The third proportional to 52,104 and 122,874 is: 289,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104 : 122,874 = 122,874 : x
  2. Step 2: Convert to fraction form
    52,104/122,874 = 122,874/x
  3. Step 3: Cross multiply
    52,104x = 122,874 × 122,874
  4. Step 4: Simplify right side
    52,104x = 15,098,019,876
  5. Step 5: Solve for x
    x = 15,098,019,876/52,104
  6. Step 6: Final answer
    x = 289,767.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.