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Finding the Third Proportional to 86,361.75 and 133,231.50

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Solution

The third proportional to 86,361.75 and 133,231.50 is: 205,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,361.75 : 133,231.50 = 133,231.50 : x
  2. Step 2: Convert to fraction form
    86,361.75/133,231.50 = 133,231.50/x
  3. Step 3: Cross multiply
    86,361.75x = 133,231.50 × 133,231.50
  4. Step 4: Simplify right side
    86,361.75x = 17,750,632,592.25
  5. Step 5: Solve for x
    x = 17,750,632,592.25/86,361.75
  6. Step 6: Final answer
    x = 205,538.13

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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.