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Finding the Third Proportional to 54,759 and 74,200.50

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Solution

The third proportional to 54,759 and 74,200.50 is: 100,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759 : 74,200.50 = 74,200.50 : x
  2. Step 2: Convert to fraction form
    54,759/74,200.50 = 74,200.50/x
  3. Step 3: Cross multiply
    54,759x = 74,200.50 × 74,200.50
  4. Step 4: Simplify right side
    54,759x = 5,505,714,200.25
  5. Step 5: Solve for x
    x = 5,505,714,200.25/54,759
  6. Step 6: Final answer
    x = 100,544.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.