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Finding the Third Proportional to 72,960.75 and 158,699.25

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Solution

The third proportional to 72,960.75 and 158,699.25 is: 345,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960.75 : 158,699.25 = 158,699.25 : x
  2. Step 2: Convert to fraction form
    72,960.75/158,699.25 = 158,699.25/x
  3. Step 3: Cross multiply
    72,960.75x = 158,699.25 × 158,699.25
  4. Step 4: Simplify right side
    72,960.75x = 25,185,451,950.56
  5. Step 5: Solve for x
    x = 25,185,451,950.56/72,960.75
  6. Step 6: Final answer
    x = 345,191.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.