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Finding the Third Proportional to 54,054 and 109,620

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Solution

The third proportional to 54,054 and 109,620 is: 222,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,054 : 109,620 = 109,620 : x
  2. Step 2: Convert to fraction form
    54,054/109,620 = 109,620/x
  3. Step 3: Cross multiply
    54,054x = 109,620 × 109,620
  4. Step 4: Simplify right side
    54,054x = 12,016,544,400
  5. Step 5: Solve for x
    x = 12,016,544,400/54,054
  6. Step 6: Final answer
    x = 222,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.