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Finding the Third Proportional to 127,041 and 270,954

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Solution

The third proportional to 127,041 and 270,954 is: 577,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,041 : 270,954 = 270,954 : x
  2. Step 2: Convert to fraction form
    127,041/270,954 = 270,954/x
  3. Step 3: Cross multiply
    127,041x = 270,954 × 270,954
  4. Step 4: Simplify right side
    127,041x = 73,416,070,116
  5. Step 5: Solve for x
    x = 73,416,070,116/127,041
  6. Step 6: Final answer
    x = 577,892.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.