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Finding the Third Proportional to 69,323.34 and 104,736.80

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Solution

The third proportional to 69,323.34 and 104,736.80 is: 158,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,323.34 : 104,736.80 = 104,736.80 : x
  2. Step 2: Convert to fraction form
    69,323.34/104,736.80 = 104,736.80/x
  3. Step 3: Cross multiply
    69,323.34x = 104,736.80 × 104,736.80
  4. Step 4: Simplify right side
    69,323.34x = 10,969,796,619.64
  5. Step 5: Solve for x
    x = 10,969,796,619.64/69,323.34
  6. Step 6: Final answer
    x = 158,241.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.