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Finding the Third Proportional to 54,189 and 71,905.50

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Solution

The third proportional to 54,189 and 71,905.50 is: 95,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189 : 71,905.50 = 71,905.50 : x
  2. Step 2: Convert to fraction form
    54,189/71,905.50 = 71,905.50/x
  3. Step 3: Cross multiply
    54,189x = 71,905.50 × 71,905.50
  4. Step 4: Simplify right side
    54,189x = 5,170,400,930.25
  5. Step 5: Solve for x
    x = 5,170,400,930.25/54,189
  6. Step 6: Final answer
    x = 95,414.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.