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Finding the Third Proportional to 120,094 and 185,993

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Solution

The third proportional to 120,094 and 185,993 is: 288,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,094 : 185,993 = 185,993 : x
  2. Step 2: Convert to fraction form
    120,094/185,993 = 185,993/x
  3. Step 3: Cross multiply
    120,094x = 185,993 × 185,993
  4. Step 4: Simplify right side
    120,094x = 34,593,396,049
  5. Step 5: Solve for x
    x = 34,593,396,049/120,094
  6. Step 6: Final answer
    x = 288,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.