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Finding the Third Proportional to 79,198 and 123,982

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Solution

The third proportional to 79,198 and 123,982 is: 194,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,198 : 123,982 = 123,982 : x
  2. Step 2: Convert to fraction form
    79,198/123,982 = 123,982/x
  3. Step 3: Cross multiply
    79,198x = 123,982 × 123,982
  4. Step 4: Simplify right side
    79,198x = 15,371,536,324
  5. Step 5: Solve for x
    x = 15,371,536,324/79,198
  6. Step 6: Final answer
    x = 194,089.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.