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Finding the Third Proportional to 137,620.25 and 193,794.25

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Solution

The third proportional to 137,620.25 and 193,794.25 is: 272,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620.25 : 193,794.25 = 193,794.25 : x
  2. Step 2: Convert to fraction form
    137,620.25/193,794.25 = 193,794.25/x
  3. Step 3: Cross multiply
    137,620.25x = 193,794.25 × 193,794.25
  4. Step 4: Simplify right side
    137,620.25x = 37,556,211,333.06
  5. Step 5: Solve for x
    x = 37,556,211,333.06/137,620.25
  6. Step 6: Final answer
    x = 272,897.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.