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Finding the Third Proportional to 55,751 and 119,134

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Solution

The third proportional to 55,751 and 119,134 is: 254,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751 : 119,134 = 119,134 : x
  2. Step 2: Convert to fraction form
    55,751/119,134 = 119,134/x
  3. Step 3: Cross multiply
    55,751x = 119,134 × 119,134
  4. Step 4: Simplify right side
    55,751x = 14,192,909,956
  5. Step 5: Solve for x
    x = 14,192,909,956/55,751
  6. Step 6: Final answer
    x = 254,576.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.