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Finding the Third Proportional to 58,923 and 127,183

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Solution

The third proportional to 58,923 and 127,183 is: 274,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,923 : 127,183 = 127,183 : x
  2. Step 2: Convert to fraction form
    58,923/127,183 = 127,183/x
  3. Step 3: Cross multiply
    58,923x = 127,183 × 127,183
  4. Step 4: Simplify right side
    58,923x = 16,175,515,489
  5. Step 5: Solve for x
    x = 16,175,515,489/58,923
  6. Step 6: Final answer
    x = 274,519.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.