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Finding the Third Proportional to 54,066 and 110,802

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Solution

The third proportional to 54,066 and 110,802 is: 227,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,066 : 110,802 = 110,802 : x
  2. Step 2: Convert to fraction form
    54,066/110,802 = 110,802/x
  3. Step 3: Cross multiply
    54,066x = 110,802 × 110,802
  4. Step 4: Simplify right side
    54,066x = 12,277,083,204
  5. Step 5: Solve for x
    x = 12,277,083,204/54,066
  6. Step 6: Final answer
    x = 227,075.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.