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Finding the Third Proportional to 82,768.50 and 181,941.75

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Solution

The third proportional to 82,768.50 and 181,941.75 is: 399,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.50 : 181,941.75 = 181,941.75 : x
  2. Step 2: Convert to fraction form
    82,768.50/181,941.75 = 181,941.75/x
  3. Step 3: Cross multiply
    82,768.50x = 181,941.75 × 181,941.75
  4. Step 4: Simplify right side
    82,768.50x = 33,102,800,393.06
  5. Step 5: Solve for x
    x = 33,102,800,393.06/82,768.50
  6. Step 6: Final answer
    x = 399,944.43

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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.