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Finding the Third Proportional to 127,350 and 193,941

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Solution

The third proportional to 127,350 and 193,941 is: 295,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,350 : 193,941 = 193,941 : x
  2. Step 2: Convert to fraction form
    127,350/193,941 = 193,941/x
  3. Step 3: Cross multiply
    127,350x = 193,941 × 193,941
  4. Step 4: Simplify right side
    127,350x = 37,613,111,481
  5. Step 5: Solve for x
    x = 37,613,111,481/127,350
  6. Step 6: Final answer
    x = 295,352.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.