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Finding the Third Proportional to 54,910 and 82,119

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Solution

The third proportional to 54,910 and 82,119 is: 122,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910 : 82,119 = 82,119 : x
  2. Step 2: Convert to fraction form
    54,910/82,119 = 82,119/x
  3. Step 3: Cross multiply
    54,910x = 82,119 × 82,119
  4. Step 4: Simplify right side
    54,910x = 6,743,530,161
  5. Step 5: Solve for x
    x = 6,743,530,161/54,910
  6. Step 6: Final answer
    x = 122,810.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.