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Finding the Third Proportional to 53,836.50 and 75,441.50

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Solution

The third proportional to 53,836.50 and 75,441.50 is: 105,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,836.50 : 75,441.50 = 75,441.50 : x
  2. Step 2: Convert to fraction form
    53,836.50/75,441.50 = 75,441.50/x
  3. Step 3: Cross multiply
    53,836.50x = 75,441.50 × 75,441.50
  4. Step 4: Simplify right side
    53,836.50x = 5,691,419,922.25
  5. Step 5: Solve for x
    x = 5,691,419,922.25/53,836.50
  6. Step 6: Final answer
    x = 105,716.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.