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Finding the Third Proportional to 129,000 and 194,256

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Solution

The third proportional to 129,000 and 194,256 is: 292,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,000 : 194,256 = 194,256 : x
  2. Step 2: Convert to fraction form
    129,000/194,256 = 194,256/x
  3. Step 3: Cross multiply
    129,000x = 194,256 × 194,256
  4. Step 4: Simplify right side
    129,000x = 37,735,393,536
  5. Step 5: Solve for x
    x = 37,735,393,536/129,000
  6. Step 6: Final answer
    x = 292,522.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.