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Finding the Third Proportional to 137,613.94 and 193,794.19

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Solution

The third proportional to 137,613.94 and 193,794.19 is: 272,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,613.94 : 193,794.19 = 193,794.19 : x
  2. Step 2: Convert to fraction form
    137,613.94/193,794.19 = 193,794.19/x
  3. Step 3: Cross multiply
    137,613.94x = 193,794.19 × 193,794.19
  4. Step 4: Simplify right side
    137,613.94x = 37,556,187,108.79
  5. Step 5: Solve for x
    x = 37,556,187,108.79/137,613.94
  6. Step 6: Final answer
    x = 272,909.76

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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.