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Finding the Third Proportional to 25,723 and 52,161

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Solution

The third proportional to 25,723 and 52,161 is: 105,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723 : 52,161 = 52,161 : x
  2. Step 2: Convert to fraction form
    25,723/52,161 = 52,161/x
  3. Step 3: Cross multiply
    25,723x = 52,161 × 52,161
  4. Step 4: Simplify right side
    25,723x = 2,720,769,921
  5. Step 5: Solve for x
    x = 2,720,769,921/25,723
  6. Step 6: Final answer
    x = 105,771.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.