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Finding the Third Proportional to 137,735.44 and 194,961.94

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Solution

The third proportional to 137,735.44 and 194,961.94 is: 275,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.44 : 194,961.94 = 194,961.94 : x
  2. Step 2: Convert to fraction form
    137,735.44/194,961.94 = 194,961.94/x
  3. Step 3: Cross multiply
    137,735.44x = 194,961.94 × 194,961.94
  4. Step 4: Simplify right side
    137,735.44x = 38,010,157,073.75
  5. Step 5: Solve for x
    x = 38,010,157,073.75/137,735.44
  6. Step 6: Final answer
    x = 275,964.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.