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Finding the Third Proportional to 133,059 and 200,969

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Solution

The third proportional to 133,059 and 200,969 is: 303,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059 : 200,969 = 200,969 : x
  2. Step 2: Convert to fraction form
    133,059/200,969 = 200,969/x
  3. Step 3: Cross multiply
    133,059x = 200,969 × 200,969
  4. Step 4: Simplify right side
    133,059x = 40,388,538,961
  5. Step 5: Solve for x
    x = 40,388,538,961/133,059
  6. Step 6: Final answer
    x = 303,538.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.