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Finding the Third Proportional to 54,910 and 120,511

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Solution

The third proportional to 54,910 and 120,511 is: 264,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910 : 120,511 = 120,511 : x
  2. Step 2: Convert to fraction form
    54,910/120,511 = 120,511/x
  3. Step 3: Cross multiply
    54,910x = 120,511 × 120,511
  4. Step 4: Simplify right side
    54,910x = 14,522,901,121
  5. Step 5: Solve for x
    x = 14,522,901,121/54,910
  6. Step 6: Final answer
    x = 264,485.54

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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.