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Finding the Third Proportional to 129,696 and 194,256

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Solution

The third proportional to 129,696 and 194,256 is: 290,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,696 : 194,256 = 194,256 : x
  2. Step 2: Convert to fraction form
    129,696/194,256 = 194,256/x
  3. Step 3: Cross multiply
    129,696x = 194,256 × 194,256
  4. Step 4: Simplify right side
    129,696x = 37,735,393,536
  5. Step 5: Solve for x
    x = 37,735,393,536/129,696
  6. Step 6: Final answer
    x = 290,952.64

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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.