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Finding the Third Proportional to 68,667.75 and 150,428.25

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Solution

The third proportional to 68,667.75 and 150,428.25 is: 329,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,667.75 : 150,428.25 = 150,428.25 : x
  2. Step 2: Convert to fraction form
    68,667.75/150,428.25 = 150,428.25/x
  3. Step 3: Cross multiply
    68,667.75x = 150,428.25 × 150,428.25
  4. Step 4: Simplify right side
    68,667.75x = 22,628,658,398.06
  5. Step 5: Solve for x
    x = 22,628,658,398.06/68,667.75
  6. Step 6: Final answer
    x = 329,538.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.