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Finding the Third Proportional to 127,679.25 and 193,296.38

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Solution

The third proportional to 127,679.25 and 193,296.38 is: 292,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,679.25 : 193,296.38 = 193,296.38 : x
  2. Step 2: Convert to fraction form
    127,679.25/193,296.38 = 193,296.38/x
  3. Step 3: Cross multiply
    127,679.25x = 193,296.38 × 193,296.38
  4. Step 4: Simplify right side
    127,679.25x = 37,363,488,588.14
  5. Step 5: Solve for x
    x = 37,363,488,588.14/127,679.25
  6. Step 6: Final answer
    x = 292,635.56

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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.