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Finding the Third Proportional to 126,900 and 300,632

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Solution

The third proportional to 126,900 and 300,632 is: 712,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,900 : 300,632 = 300,632 : x
  2. Step 2: Convert to fraction form
    126,900/300,632 = 300,632/x
  3. Step 3: Cross multiply
    126,900x = 300,632 × 300,632
  4. Step 4: Simplify right side
    126,900x = 90,379,599,424
  5. Step 5: Solve for x
    x = 90,379,599,424/126,900
  6. Step 6: Final answer
    x = 712,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.