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Finding the Third Proportional to 50,919 and 105,330

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Solution

The third proportional to 50,919 and 105,330 is: 217,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,919 : 105,330 = 105,330 : x
  2. Step 2: Convert to fraction form
    50,919/105,330 = 105,330/x
  3. Step 3: Cross multiply
    50,919x = 105,330 × 105,330
  4. Step 4: Simplify right side
    50,919x = 11,094,408,900
  5. Step 5: Solve for x
    x = 11,094,408,900/50,919
  6. Step 6: Final answer
    x = 217,883.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.