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Finding the Third Proportional to 25,192 and 55,171

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Solution

The third proportional to 25,192 and 55,171 is: 120,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192 : 55,171 = 55,171 : x
  2. Step 2: Convert to fraction form
    25,192/55,171 = 55,171/x
  3. Step 3: Cross multiply
    25,192x = 55,171 × 55,171
  4. Step 4: Simplify right side
    25,192x = 3,043,839,241
  5. Step 5: Solve for x
    x = 3,043,839,241/25,192
  6. Step 6: Final answer
    x = 120,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.