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Finding the Third Proportional to 127,119.38 and 274,058.44

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Solution

The third proportional to 127,119.38 and 274,058.44 is: 590,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,119.38 : 274,058.44 = 274,058.44 : x
  2. Step 2: Convert to fraction form
    127,119.38/274,058.44 = 274,058.44/x
  3. Step 3: Cross multiply
    127,119.38x = 274,058.44 × 274,058.44
  4. Step 4: Simplify right side
    127,119.38x = 75,108,027,164.94
  5. Step 5: Solve for x
    x = 75,108,027,164.94/127,119.38
  6. Step 6: Final answer
    x = 590,846.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.