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Finding the Third Proportional to 126,057 and 265,884

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Solution

The third proportional to 126,057 and 265,884 is: 560,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,057 : 265,884 = 265,884 : x
  2. Step 2: Convert to fraction form
    126,057/265,884 = 265,884/x
  3. Step 3: Cross multiply
    126,057x = 265,884 × 265,884
  4. Step 4: Simplify right side
    126,057x = 70,694,301,456
  5. Step 5: Solve for x
    x = 70,694,301,456/126,057
  6. Step 6: Final answer
    x = 560,812.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.