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Finding the Third Proportional to 69,928 and 107,546.75

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Solution

The third proportional to 69,928 and 107,546.75 is: 165,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,928 : 107,546.75 = 107,546.75 : x
  2. Step 2: Convert to fraction form
    69,928/107,546.75 = 107,546.75/x
  3. Step 3: Cross multiply
    69,928x = 107,546.75 × 107,546.75
  4. Step 4: Simplify right side
    69,928x = 11,566,303,435.56
  5. Step 5: Solve for x
    x = 11,566,303,435.56/69,928
  6. Step 6: Final answer
    x = 165,403.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.