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Finding the Third Proportional to 68,212.13 and 159,333.75

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Solution

The third proportional to 68,212.13 and 159,333.75 is: 372,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,212.13 : 159,333.75 = 159,333.75 : x
  2. Step 2: Convert to fraction form
    68,212.13/159,333.75 = 159,333.75/x
  3. Step 3: Cross multiply
    68,212.13x = 159,333.75 × 159,333.75
  4. Step 4: Simplify right side
    68,212.13x = 25,387,243,889.06
  5. Step 5: Solve for x
    x = 25,387,243,889.06/68,212.13
  6. Step 6: Final answer
    x = 372,180.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.