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Finding the Third Proportional to 81,784.69 and 173,304.56

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Solution

The third proportional to 81,784.69 and 173,304.56 is: 367,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,784.69 : 173,304.56 = 173,304.56 : x
  2. Step 2: Convert to fraction form
    81,784.69/173,304.56 = 173,304.56/x
  3. Step 3: Cross multiply
    81,784.69x = 173,304.56 × 173,304.56
  4. Step 4: Simplify right side
    81,784.69x = 30,034,471,383.32
  5. Step 5: Solve for x
    x = 30,034,471,383.32/81,784.69
  6. Step 6: Final answer
    x = 367,238.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.