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Finding the Third Proportional to 126,029 and 275,170

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Solution

The third proportional to 126,029 and 275,170 is: 600,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,029 : 275,170 = 275,170 : x
  2. Step 2: Convert to fraction form
    126,029/275,170 = 275,170/x
  3. Step 3: Cross multiply
    126,029x = 275,170 × 275,170
  4. Step 4: Simplify right side
    126,029x = 75,718,528,900
  5. Step 5: Solve for x
    x = 75,718,528,900/126,029
  6. Step 6: Final answer
    x = 600,802.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.