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Finding the Third Proportional to 55,626.75 and 119,297.81

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Solution

The third proportional to 55,626.75 and 119,297.81 is: 255,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,626.75 : 119,297.81 = 119,297.81 : x
  2. Step 2: Convert to fraction form
    55,626.75/119,297.81 = 119,297.81/x
  3. Step 3: Cross multiply
    55,626.75x = 119,297.81 × 119,297.81
  4. Step 4: Simplify right side
    55,626.75x = 14,231,968,067.29
  5. Step 5: Solve for x
    x = 14,231,968,067.29/55,626.75
  6. Step 6: Final answer
    x = 255,847.56

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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.