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Finding the Third Proportional to 54,900 and 74,573.50

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Solution

The third proportional to 54,900 and 74,573.50 is: 101,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,900 : 74,573.50 = 74,573.50 : x
  2. Step 2: Convert to fraction form
    54,900/74,573.50 = 74,573.50/x
  3. Step 3: Cross multiply
    54,900x = 74,573.50 × 74,573.50
  4. Step 4: Simplify right side
    54,900x = 5,561,206,902.25
  5. Step 5: Solve for x
    x = 5,561,206,902.25/54,900
  6. Step 6: Final answer
    x = 101,297.03

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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.