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Finding the Third Proportional to 126,055 and 265,880

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Solution

The third proportional to 126,055 and 265,880 is: 560,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,055 : 265,880 = 265,880 : x
  2. Step 2: Convert to fraction form
    126,055/265,880 = 265,880/x
  3. Step 3: Cross multiply
    126,055x = 265,880 × 265,880
  4. Step 4: Simplify right side
    126,055x = 70,692,174,400
  5. Step 5: Solve for x
    x = 70,692,174,400/126,055
  6. Step 6: Final answer
    x = 560,804.21

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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.