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Finding the Third Proportional to 125,082 and 194,022

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Solution

The third proportional to 125,082 and 194,022 is: 300,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,082 : 194,022 = 194,022 : x
  2. Step 2: Convert to fraction form
    125,082/194,022 = 194,022/x
  3. Step 3: Cross multiply
    125,082x = 194,022 × 194,022
  4. Step 4: Simplify right side
    125,082x = 37,644,536,484
  5. Step 5: Solve for x
    x = 37,644,536,484/125,082
  6. Step 6: Final answer
    x = 300,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.