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Finding the Third Proportional to 129,966 and 270,147

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Solution

The third proportional to 129,966 and 270,147 is: 561,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,966 : 270,147 = 270,147 : x
  2. Step 2: Convert to fraction form
    129,966/270,147 = 270,147/x
  3. Step 3: Cross multiply
    129,966x = 270,147 × 270,147
  4. Step 4: Simplify right side
    129,966x = 72,979,401,609
  5. Step 5: Solve for x
    x = 72,979,401,609/129,966
  6. Step 6: Final answer
    x = 561,526.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.