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Finding the Third Proportional to 129,006 and 195,456

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Solution

The third proportional to 129,006 and 195,456 is: 296,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006 : 195,456 = 195,456 : x
  2. Step 2: Convert to fraction form
    129,006/195,456 = 195,456/x
  3. Step 3: Cross multiply
    129,006x = 195,456 × 195,456
  4. Step 4: Simplify right side
    129,006x = 38,203,047,936
  5. Step 5: Solve for x
    x = 38,203,047,936/129,006
  6. Step 6: Final answer
    x = 296,133.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.