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Finding the Third Proportional to 48,923 and 107,223

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Solution

The third proportional to 48,923 and 107,223 is: 234,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,923 : 107,223 = 107,223 : x
  2. Step 2: Convert to fraction form
    48,923/107,223 = 107,223/x
  3. Step 3: Cross multiply
    48,923x = 107,223 × 107,223
  4. Step 4: Simplify right side
    48,923x = 11,496,771,729
  5. Step 5: Solve for x
    x = 11,496,771,729/48,923
  6. Step 6: Final answer
    x = 234,997.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.