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Finding the Third Proportional to 127,022 and 270,916

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Solution

The third proportional to 127,022 and 270,916 is: 577,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,022 : 270,916 = 270,916 : x
  2. Step 2: Convert to fraction form
    127,022/270,916 = 270,916/x
  3. Step 3: Cross multiply
    127,022x = 270,916 × 270,916
  4. Step 4: Simplify right side
    127,022x = 73,395,479,056
  5. Step 5: Solve for x
    x = 73,395,479,056/127,022
  6. Step 6: Final answer
    x = 577,817.06

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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.