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Finding the Third Proportional to 70,072 and 100,734

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Solution

The third proportional to 70,072 and 100,734 is: 144,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,072 : 100,734 = 100,734 : x
  2. Step 2: Convert to fraction form
    70,072/100,734 = 100,734/x
  3. Step 3: Cross multiply
    70,072x = 100,734 × 100,734
  4. Step 4: Simplify right side
    70,072x = 10,147,338,756
  5. Step 5: Solve for x
    x = 10,147,338,756/70,072
  6. Step 6: Final answer
    x = 144,813.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.