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Finding the Third Proportional to 54,524.63 and 79,986.94

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Solution

The third proportional to 54,524.63 and 79,986.94 is: 117,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524.63 : 79,986.94 = 79,986.94 : x
  2. Step 2: Convert to fraction form
    54,524.63/79,986.94 = 79,986.94/x
  3. Step 3: Cross multiply
    54,524.63x = 79,986.94 × 79,986.94
  4. Step 4: Simplify right side
    54,524.63x = 6,397,910,170.63
  5. Step 5: Solve for x
    x = 6,397,910,170.63/54,524.63
  6. Step 6: Final answer
    x = 117,339.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.