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Finding the Third Proportional to 55,059.75 and 119,454.75

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Solution

The third proportional to 55,059.75 and 119,454.75 is: 259,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,059.75 : 119,454.75 = 119,454.75 : x
  2. Step 2: Convert to fraction form
    55,059.75/119,454.75 = 119,454.75/x
  3. Step 3: Cross multiply
    55,059.75x = 119,454.75 × 119,454.75
  4. Step 4: Simplify right side
    55,059.75x = 14,269,437,297.56
  5. Step 5: Solve for x
    x = 14,269,437,297.56/55,059.75
  6. Step 6: Final answer
    x = 259,162.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.