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Finding the Third Proportional to 54,802 and 119,749

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Solution

The third proportional to 54,802 and 119,749 is: 261,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802 : 119,749 = 119,749 : x
  2. Step 2: Convert to fraction form
    54,802/119,749 = 119,749/x
  3. Step 3: Cross multiply
    54,802x = 119,749 × 119,749
  4. Step 4: Simplify right side
    54,802x = 14,339,823,001
  5. Step 5: Solve for x
    x = 14,339,823,001/54,802
  6. Step 6: Final answer
    x = 261,666.05

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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.