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Finding the Third Proportional to 54,282.09 and 119,607.19

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Solution

The third proportional to 54,282.09 and 119,607.19 is: 263,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,282.09 : 119,607.19 = 119,607.19 : x
  2. Step 2: Convert to fraction form
    54,282.09/119,607.19 = 119,607.19/x
  3. Step 3: Cross multiply
    54,282.09x = 119,607.19 × 119,607.19
  4. Step 4: Simplify right side
    54,282.09x = 14,305,879,301.66
  5. Step 5: Solve for x
    x = 14,305,879,301.66/54,282.09
  6. Step 6: Final answer
    x = 263,546.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.