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Finding the Third Proportional to 72,189.38 and 173,912.63

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Solution

The third proportional to 72,189.38 and 173,912.63 is: 418,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189.38 : 173,912.63 = 173,912.63 : x
  2. Step 2: Convert to fraction form
    72,189.38/173,912.63 = 173,912.63/x
  3. Step 3: Cross multiply
    72,189.38x = 173,912.63 × 173,912.63
  4. Step 4: Simplify right side
    72,189.38x = 30,245,601,134.39
  5. Step 5: Solve for x
    x = 30,245,601,134.39/72,189.38
  6. Step 6: Final answer
    x = 418,975.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.