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Finding the Third Proportional to 75,751 and 159,491

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Solution

The third proportional to 75,751 and 159,491 is: 335,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751 : 159,491 = 159,491 : x
  2. Step 2: Convert to fraction form
    75,751/159,491 = 159,491/x
  3. Step 3: Cross multiply
    75,751x = 159,491 × 159,491
  4. Step 4: Simplify right side
    75,751x = 25,437,379,081
  5. Step 5: Solve for x
    x = 25,437,379,081/75,751
  6. Step 6: Final answer
    x = 335,802.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.