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Finding the Third Proportional to 74,028.50 and 105,505.50

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Solution

The third proportional to 74,028.50 and 105,505.50 is: 150,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,028.50 : 105,505.50 = 105,505.50 : x
  2. Step 2: Convert to fraction form
    74,028.50/105,505.50 = 105,505.50/x
  3. Step 3: Cross multiply
    74,028.50x = 105,505.50 × 105,505.50
  4. Step 4: Simplify right side
    74,028.50x = 11,131,410,530.25
  5. Step 5: Solve for x
    x = 11,131,410,530.25/74,028.50
  6. Step 6: Final answer
    x = 150,366.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.