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Finding the Third Proportional to 129,536 and 194,424

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Solution

The third proportional to 129,536 and 194,424 is: 291,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,536 : 194,424 = 194,424 : x
  2. Step 2: Convert to fraction form
    129,536/194,424 = 194,424/x
  3. Step 3: Cross multiply
    129,536x = 194,424 × 194,424
  4. Step 4: Simplify right side
    129,536x = 37,800,691,776
  5. Step 5: Solve for x
    x = 37,800,691,776/129,536
  6. Step 6: Final answer
    x = 291,816.11

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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.