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Finding the Third Proportional to 54,667 and 120,097

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Solution

The third proportional to 54,667 and 120,097 is: 263,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,667 : 120,097 = 120,097 : x
  2. Step 2: Convert to fraction form
    54,667/120,097 = 120,097/x
  3. Step 3: Cross multiply
    54,667x = 120,097 × 120,097
  4. Step 4: Simplify right side
    54,667x = 14,423,289,409
  5. Step 5: Solve for x
    x = 14,423,289,409/54,667
  6. Step 6: Final answer
    x = 263,839.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.