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Finding the Third Proportional to 114,165 and 181,815

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Solution

The third proportional to 114,165 and 181,815 is: 289,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165 : 181,815 = 181,815 : x
  2. Step 2: Convert to fraction form
    114,165/181,815 = 181,815/x
  3. Step 3: Cross multiply
    114,165x = 181,815 × 181,815
  4. Step 4: Simplify right side
    114,165x = 33,056,694,225
  5. Step 5: Solve for x
    x = 33,056,694,225/114,165
  6. Step 6: Final answer
    x = 289,551.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.