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Finding the Third Proportional to 51,401.62 and 76,675.99

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Solution

The third proportional to 51,401.62 and 76,675.99 is: 114,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401.62 : 76,675.99 = 76,675.99 : x
  2. Step 2: Convert to fraction form
    51,401.62/76,675.99 = 76,675.99/x
  3. Step 3: Cross multiply
    51,401.62x = 76,675.99 × 76,675.99
  4. Step 4: Simplify right side
    51,401.62x = 5,879,207,777.94
  5. Step 5: Solve for x
    x = 5,879,207,777.94/51,401.62
  6. Step 6: Final answer
    x = 114,377.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.