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Finding the Third Proportional to 129,841 and 194,242

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Solution

The third proportional to 129,841 and 194,242 is: 290,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,841 : 194,242 = 194,242 : x
  2. Step 2: Convert to fraction form
    129,841/194,242 = 194,242/x
  3. Step 3: Cross multiply
    129,841x = 194,242 × 194,242
  4. Step 4: Simplify right side
    129,841x = 37,729,954,564
  5. Step 5: Solve for x
    x = 37,729,954,564/129,841
  6. Step 6: Final answer
    x = 290,585.83

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Why These Related Problems?

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