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Finding the Third Proportional to 25,529 and 55,165

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Solution

The third proportional to 25,529 and 55,165 is: 119,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,529 : 55,165 = 55,165 : x
  2. Step 2: Convert to fraction form
    25,529/55,165 = 55,165/x
  3. Step 3: Cross multiply
    25,529x = 55,165 × 55,165
  4. Step 4: Simplify right side
    25,529x = 3,043,177,225
  5. Step 5: Solve for x
    x = 3,043,177,225/25,529
  6. Step 6: Final answer
    x = 119,204.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.