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Finding the Third Proportional to 49,642.88 and 76,919.63

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Solution

The third proportional to 49,642.88 and 76,919.63 is: 119,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642.88 : 76,919.63 = 76,919.63 : x
  2. Step 2: Convert to fraction form
    49,642.88/76,919.63 = 76,919.63/x
  3. Step 3: Cross multiply
    49,642.88x = 76,919.63 × 76,919.63
  4. Step 4: Simplify right side
    49,642.88x = 5,916,628,710.14
  5. Step 5: Solve for x
    x = 5,916,628,710.14/49,642.88
  6. Step 6: Final answer
    x = 119,183.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.