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Finding the Third Proportional to 50,942 and 120,437

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Solution

The third proportional to 50,942 and 120,437 is: 284,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942 : 120,437 = 120,437 : x
  2. Step 2: Convert to fraction form
    50,942/120,437 = 120,437/x
  3. Step 3: Cross multiply
    50,942x = 120,437 × 120,437
  4. Step 4: Simplify right side
    50,942x = 14,505,070,969
  5. Step 5: Solve for x
    x = 14,505,070,969/50,942
  6. Step 6: Final answer
    x = 284,736.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.