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Finding the Third Proportional to 48,082 and 104,274

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Solution

The third proportional to 48,082 and 104,274 is: 226,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082 : 104,274 = 104,274 : x
  2. Step 2: Convert to fraction form
    48,082/104,274 = 104,274/x
  3. Step 3: Cross multiply
    48,082x = 104,274 × 104,274
  4. Step 4: Simplify right side
    48,082x = 10,873,067,076
  5. Step 5: Solve for x
    x = 10,873,067,076/48,082
  6. Step 6: Final answer
    x = 226,135.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.