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Finding the Third Proportional to 70,016 and 104,780

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Solution

The third proportional to 70,016 and 104,780 is: 156,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016 : 104,780 = 104,780 : x
  2. Step 2: Convert to fraction form
    70,016/104,780 = 104,780/x
  3. Step 3: Cross multiply
    70,016x = 104,780 × 104,780
  4. Step 4: Simplify right side
    70,016x = 10,978,848,400
  5. Step 5: Solve for x
    x = 10,978,848,400/70,016
  6. Step 6: Final answer
    x = 156,804.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.