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Finding the Third Proportional to 50,182.50 and 73,888

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Solution

The third proportional to 50,182.50 and 73,888 is: 108,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,182.50 : 73,888 = 73,888 : x
  2. Step 2: Convert to fraction form
    50,182.50/73,888 = 73,888/x
  3. Step 3: Cross multiply
    50,182.50x = 73,888 × 73,888
  4. Step 4: Simplify right side
    50,182.50x = 5,459,436,544
  5. Step 5: Solve for x
    x = 5,459,436,544/50,182.50
  6. Step 6: Final answer
    x = 108,791.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.