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Finding the Third Proportional to 120,927 and 190,665

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Solution

The third proportional to 120,927 and 190,665 is: 300,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,927 : 190,665 = 190,665 : x
  2. Step 2: Convert to fraction form
    120,927/190,665 = 190,665/x
  3. Step 3: Cross multiply
    120,927x = 190,665 × 190,665
  4. Step 4: Simplify right side
    120,927x = 36,353,142,225
  5. Step 5: Solve for x
    x = 36,353,142,225/120,927
  6. Step 6: Final answer
    x = 300,620.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.