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Finding the Third Proportional to 126,164 and 275,944

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Solution

The third proportional to 126,164 and 275,944 is: 603,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,164 : 275,944 = 275,944 : x
  2. Step 2: Convert to fraction form
    126,164/275,944 = 275,944/x
  3. Step 3: Cross multiply
    126,164x = 275,944 × 275,944
  4. Step 4: Simplify right side
    126,164x = 76,145,091,136
  5. Step 5: Solve for x
    x = 76,145,091,136/126,164
  6. Step 6: Final answer
    x = 603,540.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.