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Finding the Third Proportional to 54,116 and 80,954

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Solution

The third proportional to 54,116 and 80,954 is: 121,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116 : 80,954 = 80,954 : x
  2. Step 2: Convert to fraction form
    54,116/80,954 = 80,954/x
  3. Step 3: Cross multiply
    54,116x = 80,954 × 80,954
  4. Step 4: Simplify right side
    54,116x = 6,553,550,116
  5. Step 5: Solve for x
    x = 6,553,550,116/54,116
  6. Step 6: Final answer
    x = 121,101.89

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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.