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Finding the Third Proportional to 43,170 and 96,379.50

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Solution

The third proportional to 43,170 and 96,379.50 is: 215,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170 : 96,379.50 = 96,379.50 : x
  2. Step 2: Convert to fraction form
    43,170/96,379.50 = 96,379.50/x
  3. Step 3: Cross multiply
    43,170x = 96,379.50 × 96,379.50
  4. Step 4: Simplify right side
    43,170x = 9,289,008,020.25
  5. Step 5: Solve for x
    x = 9,289,008,020.25/43,170
  6. Step 6: Final answer
    x = 215,172.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.