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Finding the Third Proportional to 127,743 and 193,382

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Solution

The third proportional to 127,743 and 193,382 is: 292,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,743 : 193,382 = 193,382 : x
  2. Step 2: Convert to fraction form
    127,743/193,382 = 193,382/x
  3. Step 3: Cross multiply
    127,743x = 193,382 × 193,382
  4. Step 4: Simplify right side
    127,743x = 37,396,597,924
  5. Step 5: Solve for x
    x = 37,396,597,924/127,743
  6. Step 6: Final answer
    x = 292,748.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.