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Finding the Third Proportional to 85,077 and 183,161.25

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Solution

The third proportional to 85,077 and 183,161.25 is: 394,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,077 : 183,161.25 = 183,161.25 : x
  2. Step 2: Convert to fraction form
    85,077/183,161.25 = 183,161.25/x
  3. Step 3: Cross multiply
    85,077x = 183,161.25 × 183,161.25
  4. Step 4: Simplify right side
    85,077x = 33,548,043,501.56
  5. Step 5: Solve for x
    x = 33,548,043,501.56/85,077
  6. Step 6: Final answer
    x = 394,325.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.