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Finding the Third Proportional to 85,777 and 189,006

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Solution

The third proportional to 85,777 and 189,006 is: 416,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,777 : 189,006 = 189,006 : x
  2. Step 2: Convert to fraction form
    85,777/189,006 = 189,006/x
  3. Step 3: Cross multiply
    85,777x = 189,006 × 189,006
  4. Step 4: Simplify right side
    85,777x = 35,723,268,036
  5. Step 5: Solve for x
    x = 35,723,268,036/85,777
  6. Step 6: Final answer
    x = 416,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.