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Finding the Third Proportional to 126,543 and 256,722

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Solution

The third proportional to 126,543 and 256,722 is: 520,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,543 : 256,722 = 256,722 : x
  2. Step 2: Convert to fraction form
    126,543/256,722 = 256,722/x
  3. Step 3: Cross multiply
    126,543x = 256,722 × 256,722
  4. Step 4: Simplify right side
    126,543x = 65,906,185,284
  5. Step 5: Solve for x
    x = 65,906,185,284/126,543
  6. Step 6: Final answer
    x = 520,820.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.