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Finding the Third Proportional to 50,834 and 120,173

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Solution

The third proportional to 50,834 and 120,173 is: 284,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834 : 120,173 = 120,173 : x
  2. Step 2: Convert to fraction form
    50,834/120,173 = 120,173/x
  3. Step 3: Cross multiply
    50,834x = 120,173 × 120,173
  4. Step 4: Simplify right side
    50,834x = 14,441,549,929
  5. Step 5: Solve for x
    x = 14,441,549,929/50,834
  6. Step 6: Final answer
    x = 284,092.34

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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.