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Finding the Third Proportional to 126,172 and 270,944

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Solution

The third proportional to 126,172 and 270,944 is: 581,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,172 : 270,944 = 270,944 : x
  2. Step 2: Convert to fraction form
    126,172/270,944 = 270,944/x
  3. Step 3: Cross multiply
    126,172x = 270,944 × 270,944
  4. Step 4: Simplify right side
    126,172x = 73,410,651,136
  5. Step 5: Solve for x
    x = 73,410,651,136/126,172
  6. Step 6: Final answer
    x = 581,829.97

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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.