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Finding the Third Proportional to 50,956 and 119,897

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Solution

The third proportional to 50,956 and 119,897 is: 282,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956 : 119,897 = 119,897 : x
  2. Step 2: Convert to fraction form
    50,956/119,897 = 119,897/x
  3. Step 3: Cross multiply
    50,956x = 119,897 × 119,897
  4. Step 4: Simplify right side
    50,956x = 14,375,290,609
  5. Step 5: Solve for x
    x = 14,375,290,609/50,956
  6. Step 6: Final answer
    x = 282,111.83

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