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Finding the Third Proportional to 129,560 and 194,474

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Solution

The third proportional to 129,560 and 194,474 is: 291,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,560 : 194,474 = 194,474 : x
  2. Step 2: Convert to fraction form
    129,560/194,474 = 194,474/x
  3. Step 3: Cross multiply
    129,560x = 194,474 × 194,474
  4. Step 4: Simplify right side
    129,560x = 37,820,136,676
  5. Step 5: Solve for x
    x = 37,820,136,676/129,560
  6. Step 6: Final answer
    x = 291,912.14

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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.