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Finding the Third Proportional to 54,508 and 120,662

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Solution

The third proportional to 54,508 and 120,662 is: 267,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508 : 120,662 = 120,662 : x
  2. Step 2: Convert to fraction form
    54,508/120,662 = 120,662/x
  3. Step 3: Cross multiply
    54,508x = 120,662 × 120,662
  4. Step 4: Simplify right side
    54,508x = 14,559,318,244
  5. Step 5: Solve for x
    x = 14,559,318,244/54,508
  6. Step 6: Final answer
    x = 267,104.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.