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Finding the Third Proportional to 69,144 and 104,350.50

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Solution

The third proportional to 69,144 and 104,350.50 is: 157,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144 : 104,350.50 = 104,350.50 : x
  2. Step 2: Convert to fraction form
    69,144/104,350.50 = 104,350.50/x
  3. Step 3: Cross multiply
    69,144x = 104,350.50 × 104,350.50
  4. Step 4: Simplify right side
    69,144x = 10,889,026,850.25
  5. Step 5: Solve for x
    x = 10,889,026,850.25/69,144
  6. Step 6: Final answer
    x = 157,483.32

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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.