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Finding the Third Proportional to 114,812.25 and 181,022.63

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Solution

The third proportional to 114,812.25 and 181,022.63 is: 285,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,812.25 : 181,022.63 = 181,022.63 : x
  2. Step 2: Convert to fraction form
    114,812.25/181,022.63 = 181,022.63/x
  3. Step 3: Cross multiply
    114,812.25x = 181,022.63 × 181,022.63
  4. Step 4: Simplify right side
    114,812.25x = 32,769,190,761.89
  5. Step 5: Solve for x
    x = 32,769,190,761.89/114,812.25
  6. Step 6: Final answer
    x = 285,415.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.