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Finding the Third Proportional to 50,613 and 120,879

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Solution

The third proportional to 50,613 and 120,879 is: 288,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,613 : 120,879 = 120,879 : x
  2. Step 2: Convert to fraction form
    50,613/120,879 = 120,879/x
  3. Step 3: Cross multiply
    50,613x = 120,879 × 120,879
  4. Step 4: Simplify right side
    50,613x = 14,611,732,641
  5. Step 5: Solve for x
    x = 14,611,732,641/50,613
  6. Step 6: Final answer
    x = 288,695.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.