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Finding the Third Proportional to 133,791.50 and 183,466

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Solution

The third proportional to 133,791.50 and 183,466 is: 251,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,791.50 : 183,466 = 183,466 : x
  2. Step 2: Convert to fraction form
    133,791.50/183,466 = 183,466/x
  3. Step 3: Cross multiply
    133,791.50x = 183,466 × 183,466
  4. Step 4: Simplify right side
    133,791.50x = 33,659,773,156
  5. Step 5: Solve for x
    x = 33,659,773,156/133,791.50
  6. Step 6: Final answer
    x = 251,583.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.