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Finding the Third Proportional to 129,234 and 274,102

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Solution

The third proportional to 129,234 and 274,102 is: 581,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,234 : 274,102 = 274,102 : x
  2. Step 2: Convert to fraction form
    129,234/274,102 = 274,102/x
  3. Step 3: Cross multiply
    129,234x = 274,102 × 274,102
  4. Step 4: Simplify right side
    129,234x = 75,131,906,404
  5. Step 5: Solve for x
    x = 75,131,906,404/129,234
  6. Step 6: Final answer
    x = 581,363.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.