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Finding the Third Proportional to 137,618.86 and 193,798.55

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Solution

The third proportional to 137,618.86 and 193,798.55 is: 272,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,618.86 : 193,798.55 = 193,798.55 : x
  2. Step 2: Convert to fraction form
    137,618.86/193,798.55 = 193,798.55/x
  3. Step 3: Cross multiply
    137,618.86x = 193,798.55 × 193,798.55
  4. Step 4: Simplify right side
    137,618.86x = 37,557,876,770.86
  5. Step 5: Solve for x
    x = 37,557,876,770.86/137,618.86
  6. Step 6: Final answer
    x = 272,912.28

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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.