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Finding the Third Proportional to 133,942 and 181,911

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Solution

The third proportional to 133,942 and 181,911 is: 247,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,942 : 181,911 = 181,911 : x
  2. Step 2: Convert to fraction form
    133,942/181,911 = 181,911/x
  3. Step 3: Cross multiply
    133,942x = 181,911 × 181,911
  4. Step 4: Simplify right side
    133,942x = 33,091,611,921
  5. Step 5: Solve for x
    x = 33,091,611,921/133,942
  6. Step 6: Final answer
    x = 247,059.26

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