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Finding the Third Proportional to 140,241.38 and 191,601.70

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Solution

The third proportional to 140,241.38 and 191,601.70 is: 261,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,241.38 : 191,601.70 = 191,601.70 : x
  2. Step 2: Convert to fraction form
    140,241.38/191,601.70 = 191,601.70/x
  3. Step 3: Cross multiply
    140,241.38x = 191,601.70 × 191,601.70
  4. Step 4: Simplify right side
    140,241.38x = 36,711,212,640.40
  5. Step 5: Solve for x
    x = 36,711,212,640.40/140,241.38
  6. Step 6: Final answer
    x = 261,771.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.