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Finding the Third Proportional to 133,978 and 181,946

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Solution

The third proportional to 133,978 and 181,946 is: 247,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978 : 181,946 = 181,946 : x
  2. Step 2: Convert to fraction form
    133,978/181,946 = 181,946/x
  3. Step 3: Cross multiply
    133,978x = 181,946 × 181,946
  4. Step 4: Simplify right side
    133,978x = 33,104,346,916
  5. Step 5: Solve for x
    x = 33,104,346,916/133,978
  6. Step 6: Final answer
    x = 247,087.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.