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Finding the Third Proportional to 50,965 and 119,918

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Solution

The third proportional to 50,965 and 119,918 is: 282,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965 : 119,918 = 119,918 : x
  2. Step 2: Convert to fraction form
    50,965/119,918 = 119,918/x
  3. Step 3: Cross multiply
    50,965x = 119,918 × 119,918
  4. Step 4: Simplify right side
    50,965x = 14,380,326,724
  5. Step 5: Solve for x
    x = 14,380,326,724/50,965
  6. Step 6: Final answer
    x = 282,160.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.