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Finding the Third Proportional to 121,694.63 and 181,529.44

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Solution

The third proportional to 121,694.63 and 181,529.44 is: 270,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,694.63 : 181,529.44 = 181,529.44 : x
  2. Step 2: Convert to fraction form
    121,694.63/181,529.44 = 181,529.44/x
  3. Step 3: Cross multiply
    121,694.63x = 181,529.44 × 181,529.44
  4. Step 4: Simplify right side
    121,694.63x = 32,952,936,679.07
  5. Step 5: Solve for x
    x = 32,952,936,679.07/121,694.63
  6. Step 6: Final answer
    x = 270,783.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.