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Finding the Third Proportional to 55,819 and 131,741

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Solution

The third proportional to 55,819 and 131,741 is: 310,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,819 : 131,741 = 131,741 : x
  2. Step 2: Convert to fraction form
    55,819/131,741 = 131,741/x
  3. Step 3: Cross multiply
    55,819x = 131,741 × 131,741
  4. Step 4: Simplify right side
    55,819x = 17,355,691,081
  5. Step 5: Solve for x
    x = 17,355,691,081/55,819
  6. Step 6: Final answer
    x = 310,928.02

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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.