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Finding the Third Proportional to 126,944 and 275,772

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Solution

The third proportional to 126,944 and 275,772 is: 599,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,944 : 275,772 = 275,772 : x
  2. Step 2: Convert to fraction form
    126,944/275,772 = 275,772/x
  3. Step 3: Cross multiply
    126,944x = 275,772 × 275,772
  4. Step 4: Simplify right side
    126,944x = 76,050,195,984
  5. Step 5: Solve for x
    x = 76,050,195,984/126,944
  6. Step 6: Final answer
    x = 599,084.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.