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Finding the Third Proportional to 52,605 and 73,993

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Solution

The third proportional to 52,605 and 73,993 is: 104,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605 : 73,993 = 73,993 : x
  2. Step 2: Convert to fraction form
    52,605/73,993 = 73,993/x
  3. Step 3: Cross multiply
    52,605x = 73,993 × 73,993
  4. Step 4: Simplify right side
    52,605x = 5,474,964,049
  5. Step 5: Solve for x
    x = 5,474,964,049/52,605
  6. Step 6: Final answer
    x = 104,076.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.