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Finding the Third Proportional to 72,647 and 159,672

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Solution

The third proportional to 72,647 and 159,672 is: 350,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647 : 159,672 = 159,672 : x
  2. Step 2: Convert to fraction form
    72,647/159,672 = 159,672/x
  3. Step 3: Cross multiply
    72,647x = 159,672 × 159,672
  4. Step 4: Simplify right side
    72,647x = 25,495,147,584
  5. Step 5: Solve for x
    x = 25,495,147,584/72,647
  6. Step 6: Final answer
    x = 350,945.64

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