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Finding the Third Proportional to 54,258.19 and 119,021.63

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Solution

The third proportional to 54,258.19 and 119,021.63 is: 261,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,258.19 : 119,021.63 = 119,021.63 : x
  2. Step 2: Convert to fraction form
    54,258.19/119,021.63 = 119,021.63/x
  3. Step 3: Cross multiply
    54,258.19x = 119,021.63 × 119,021.63
  4. Step 4: Simplify right side
    54,258.19x = 14,166,147,217.64
  5. Step 5: Solve for x
    x = 14,166,147,217.64/54,258.19
  6. Step 6: Final answer
    x = 261,087.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.