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Finding the Third Proportional to 53,219 and 73,996

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Solution

The third proportional to 53,219 and 73,996 is: 102,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,219 : 73,996 = 73,996 : x
  2. Step 2: Convert to fraction form
    53,219/73,996 = 73,996/x
  3. Step 3: Cross multiply
    53,219x = 73,996 × 73,996
  4. Step 4: Simplify right side
    53,219x = 5,475,408,016
  5. Step 5: Solve for x
    x = 5,475,408,016/53,219
  6. Step 6: Final answer
    x = 102,884.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.