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Finding the Third Proportional to 129,182 and 277,049

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Solution

The third proportional to 129,182 and 277,049 is: 594,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,182 : 277,049 = 277,049 : x
  2. Step 2: Convert to fraction form
    129,182/277,049 = 277,049/x
  3. Step 3: Cross multiply
    129,182x = 277,049 × 277,049
  4. Step 4: Simplify right side
    129,182x = 76,756,148,401
  5. Step 5: Solve for x
    x = 76,756,148,401/129,182
  6. Step 6: Final answer
    x = 594,170.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.