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Finding the Third Proportional to 76,299.75 and 159,570

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Solution

The third proportional to 76,299.75 and 159,570 is: 333,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,299.75 : 159,570 = 159,570 : x
  2. Step 2: Convert to fraction form
    76,299.75/159,570 = 159,570/x
  3. Step 3: Cross multiply
    76,299.75x = 159,570 × 159,570
  4. Step 4: Simplify right side
    76,299.75x = 25,462,584,900
  5. Step 5: Solve for x
    x = 25,462,584,900/76,299.75
  6. Step 6: Final answer
    x = 333,717.80

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.