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Finding the Third Proportional to 71,578.69 and 150,994.13

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Solution

The third proportional to 71,578.69 and 150,994.13 is: 318,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.69 : 150,994.13 = 150,994.13 : x
  2. Step 2: Convert to fraction form
    71,578.69/150,994.13 = 150,994.13/x
  3. Step 3: Cross multiply
    71,578.69x = 150,994.13 × 150,994.13
  4. Step 4: Simplify right side
    71,578.69x = 22,799,225,784.52
  5. Step 5: Solve for x
    x = 22,799,225,784.52/71,578.69
  6. Step 6: Final answer
    x = 318,519.75

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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.