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Finding the Third Proportional to 25,251 and 53,165

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Solution

The third proportional to 25,251 and 53,165 is: 111,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251 : 53,165 = 53,165 : x
  2. Step 2: Convert to fraction form
    25,251/53,165 = 53,165/x
  3. Step 3: Cross multiply
    25,251x = 53,165 × 53,165
  4. Step 4: Simplify right side
    25,251x = 2,826,517,225
  5. Step 5: Solve for x
    x = 2,826,517,225/25,251
  6. Step 6: Final answer
    x = 111,936.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.