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Finding the Third Proportional to 48,941 and 93,993

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Solution

The third proportional to 48,941 and 93,993 is: 180,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,941 : 93,993 = 93,993 : x
  2. Step 2: Convert to fraction form
    48,941/93,993 = 93,993/x
  3. Step 3: Cross multiply
    48,941x = 93,993 × 93,993
  4. Step 4: Simplify right side
    48,941x = 8,834,684,049
  5. Step 5: Solve for x
    x = 8,834,684,049/48,941
  6. Step 6: Final answer
    x = 180,517.03

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.