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Finding the Third Proportional to 76,980.75 and 160,083.75

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Solution

The third proportional to 76,980.75 and 160,083.75 is: 332,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.75 : 160,083.75 = 160,083.75 : x
  2. Step 2: Convert to fraction form
    76,980.75/160,083.75 = 160,083.75/x
  3. Step 3: Cross multiply
    76,980.75x = 160,083.75 × 160,083.75
  4. Step 4: Simplify right side
    76,980.75x = 25,626,807,014.06
  5. Step 5: Solve for x
    x = 25,626,807,014.06/76,980.75
  6. Step 6: Final answer
    x = 332,898.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.