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Finding the Third Proportional to 85,168.50 and 179,164.88

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Solution

The third proportional to 85,168.50 and 179,164.88 is: 376,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168.50 : 179,164.88 = 179,164.88 : x
  2. Step 2: Convert to fraction form
    85,168.50/179,164.88 = 179,164.88/x
  3. Step 3: Cross multiply
    85,168.50x = 179,164.88 × 179,164.88
  4. Step 4: Simplify right side
    85,168.50x = 32,100,052,433.77
  5. Step 5: Solve for x
    x = 32,100,052,433.77/85,168.50
  6. Step 6: Final answer
    x = 376,900.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.