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Finding the Third Proportional to 52,269 and 111,915

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Solution

The third proportional to 52,269 and 111,915 is: 239,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269 : 111,915 = 111,915 : x
  2. Step 2: Convert to fraction form
    52,269/111,915 = 111,915/x
  3. Step 3: Cross multiply
    52,269x = 111,915 × 111,915
  4. Step 4: Simplify right side
    52,269x = 12,524,967,225
  5. Step 5: Solve for x
    x = 12,524,967,225/52,269
  6. Step 6: Final answer
    x = 239,625.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.