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Finding the Third Proportional to 118,963.69 and 182,842.31

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Solution

The third proportional to 118,963.69 and 182,842.31 is: 281,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963.69 : 182,842.31 = 182,842.31 : x
  2. Step 2: Convert to fraction form
    118,963.69/182,842.31 = 182,842.31/x
  3. Step 3: Cross multiply
    118,963.69x = 182,842.31 × 182,842.31
  4. Step 4: Simplify right side
    118,963.69x = 33,431,311,240.35
  5. Step 5: Solve for x
    x = 33,431,311,240.35/118,963.69
  6. Step 6: Final answer
    x = 281,021.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.