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Finding the Third Proportional to 126,364 and 271,770

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Solution

The third proportional to 126,364 and 271,770 is: 584,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,364 : 271,770 = 271,770 : x
  2. Step 2: Convert to fraction form
    126,364/271,770 = 271,770/x
  3. Step 3: Cross multiply
    126,364x = 271,770 × 271,770
  4. Step 4: Simplify right side
    126,364x = 73,858,932,900
  5. Step 5: Solve for x
    x = 73,858,932,900/126,364
  6. Step 6: Final answer
    x = 584,493.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.