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Finding the Third Proportional to 86,378.25 and 133,257.75

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Solution

The third proportional to 86,378.25 and 133,257.75 is: 205,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,378.25 : 133,257.75 = 133,257.75 : x
  2. Step 2: Convert to fraction form
    86,378.25/133,257.75 = 133,257.75/x
  3. Step 3: Cross multiply
    86,378.25x = 133,257.75 × 133,257.75
  4. Step 4: Simplify right side
    86,378.25x = 17,757,627,935.06
  5. Step 5: Solve for x
    x = 17,757,627,935.06/86,378.25
  6. Step 6: Final answer
    x = 205,579.85

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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.