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Finding the Third Proportional to 104,082 and 227,022

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Solution

The third proportional to 104,082 and 227,022 is: 495,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082 : 227,022 = 227,022 : x
  2. Step 2: Convert to fraction form
    104,082/227,022 = 227,022/x
  3. Step 3: Cross multiply
    104,082x = 227,022 × 227,022
  4. Step 4: Simplify right side
    104,082x = 51,538,988,484
  5. Step 5: Solve for x
    x = 51,538,988,484/104,082
  6. Step 6: Final answer
    x = 495,176.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.