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Finding the Third Proportional to 129,845 and 194,849

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Solution

The third proportional to 129,845 and 194,849 is: 292,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,845 : 194,849 = 194,849 : x
  2. Step 2: Convert to fraction form
    129,845/194,849 = 194,849/x
  3. Step 3: Cross multiply
    129,845x = 194,849 × 194,849
  4. Step 4: Simplify right side
    129,845x = 37,966,132,801
  5. Step 5: Solve for x
    x = 37,966,132,801/129,845
  6. Step 6: Final answer
    x = 292,395.80

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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.