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Finding the Third Proportional to 69,724.50 and 104,745.50

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Solution

The third proportional to 69,724.50 and 104,745.50 is: 157,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,724.50 : 104,745.50 = 104,745.50 : x
  2. Step 2: Convert to fraction form
    69,724.50/104,745.50 = 104,745.50/x
  3. Step 3: Cross multiply
    69,724.50x = 104,745.50 × 104,745.50
  4. Step 4: Simplify right side
    69,724.50x = 10,971,619,770.25
  5. Step 5: Solve for x
    x = 10,971,619,770.25/69,724.50
  6. Step 6: Final answer
    x = 157,356.74

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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.