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Finding the Third Proportional to 54,891 and 120,411

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Solution

The third proportional to 54,891 and 120,411 is: 264,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891 : 120,411 = 120,411 : x
  2. Step 2: Convert to fraction form
    54,891/120,411 = 120,411/x
  3. Step 3: Cross multiply
    54,891x = 120,411 × 120,411
  4. Step 4: Simplify right side
    54,891x = 14,498,808,921
  5. Step 5: Solve for x
    x = 14,498,808,921/54,891
  6. Step 6: Final answer
    x = 264,138.18

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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.