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Finding the Third Proportional to 86,896.50 and 131,267.25

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Solution

The third proportional to 86,896.50 and 131,267.25 is: 198,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.50 : 131,267.25 = 131,267.25 : x
  2. Step 2: Convert to fraction form
    86,896.50/131,267.25 = 131,267.25/x
  3. Step 3: Cross multiply
    86,896.50x = 131,267.25 × 131,267.25
  4. Step 4: Simplify right side
    86,896.50x = 17,231,090,922.56
  5. Step 5: Solve for x
    x = 17,231,090,922.56/86,896.50
  6. Step 6: Final answer
    x = 198,294.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.