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Finding the Third Proportional to 55,497.94 and 119,863.69

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Solution

The third proportional to 55,497.94 and 119,863.69 is: 258,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,497.94 : 119,863.69 = 119,863.69 : x
  2. Step 2: Convert to fraction form
    55,497.94/119,863.69 = 119,863.69/x
  3. Step 3: Cross multiply
    55,497.94x = 119,863.69 × 119,863.69
  4. Step 4: Simplify right side
    55,497.94x = 14,367,303,581.10
  5. Step 5: Solve for x
    x = 14,367,303,581.10/55,497.94
  6. Step 6: Final answer
    x = 258,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.