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Finding the Third Proportional to 126,146 and 271,876

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Solution

The third proportional to 126,146 and 271,876 is: 585,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,146 : 271,876 = 271,876 : x
  2. Step 2: Convert to fraction form
    126,146/271,876 = 271,876/x
  3. Step 3: Cross multiply
    126,146x = 271,876 × 271,876
  4. Step 4: Simplify right side
    126,146x = 73,916,559,376
  5. Step 5: Solve for x
    x = 73,916,559,376/126,146
  6. Step 6: Final answer
    x = 585,960.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.