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Finding the Third Proportional to 50,846 and 118,777

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Solution

The third proportional to 50,846 and 118,777 is: 277,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846 : 118,777 = 118,777 : x
  2. Step 2: Convert to fraction form
    50,846/118,777 = 118,777/x
  3. Step 3: Cross multiply
    50,846x = 118,777 × 118,777
  4. Step 4: Simplify right side
    50,846x = 14,107,975,729
  5. Step 5: Solve for x
    x = 14,107,975,729/50,846
  6. Step 6: Final answer
    x = 277,464.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.