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Finding the Third Proportional to 129,839 and 194,239

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Solution

The third proportional to 129,839 and 194,239 is: 290,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,839 : 194,239 = 194,239 : x
  2. Step 2: Convert to fraction form
    129,839/194,239 = 194,239/x
  3. Step 3: Cross multiply
    129,839x = 194,239 × 194,239
  4. Step 4: Simplify right side
    129,839x = 37,728,789,121
  5. Step 5: Solve for x
    x = 37,728,789,121/129,839
  6. Step 6: Final answer
    x = 290,581.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.