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Finding the Third Proportional to 80,379 and 127,164.94

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Solution

The third proportional to 80,379 and 127,164.94 is: 201,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,379 : 127,164.94 = 127,164.94 : x
  2. Step 2: Convert to fraction form
    80,379/127,164.94 = 127,164.94/x
  3. Step 3: Cross multiply
    80,379x = 127,164.94 × 127,164.94
  4. Step 4: Simplify right side
    80,379x = 16,170,921,329.38
  5. Step 5: Solve for x
    x = 16,170,921,329.38/80,379
  6. Step 6: Final answer
    x = 201,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.