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Finding the Third Proportional to 86,348.25 and 133,213.75

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Solution

The third proportional to 86,348.25 and 133,213.75 is: 205,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,348.25 : 133,213.75 = 133,213.75 : x
  2. Step 2: Convert to fraction form
    86,348.25/133,213.75 = 133,213.75/x
  3. Step 3: Cross multiply
    86,348.25x = 133,213.75 × 133,213.75
  4. Step 4: Simplify right side
    86,348.25x = 17,745,903,189.06
  5. Step 5: Solve for x
    x = 17,745,903,189.06/86,348.25
  6. Step 6: Final answer
    x = 205,515.49

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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.