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Finding the Third Proportional to 122,094 and 183,012.75

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Solution

The third proportional to 122,094 and 183,012.75 is: 274,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094 : 183,012.75 = 183,012.75 : x
  2. Step 2: Convert to fraction form
    122,094/183,012.75 = 183,012.75/x
  3. Step 3: Cross multiply
    122,094x = 183,012.75 × 183,012.75
  4. Step 4: Simplify right side
    122,094x = 33,493,666,662.56
  5. Step 5: Solve for x
    x = 33,493,666,662.56/122,094
  6. Step 6: Final answer
    x = 274,326.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.