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Finding the Third Proportional to 50,958 and 108,477

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Solution

The third proportional to 50,958 and 108,477 is: 230,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,958 : 108,477 = 108,477 : x
  2. Step 2: Convert to fraction form
    50,958/108,477 = 108,477/x
  3. Step 3: Cross multiply
    50,958x = 108,477 × 108,477
  4. Step 4: Simplify right side
    50,958x = 11,767,259,529
  5. Step 5: Solve for x
    x = 11,767,259,529/50,958
  6. Step 6: Final answer
    x = 230,920.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.