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Finding the Third Proportional to 50,674.78 and 79,492.64

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Solution

The third proportional to 50,674.78 and 79,492.64 is: 124,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674.78 : 79,492.64 = 79,492.64 : x
  2. Step 2: Convert to fraction form
    50,674.78/79,492.64 = 79,492.64/x
  3. Step 3: Cross multiply
    50,674.78x = 79,492.64 × 79,492.64
  4. Step 4: Simplify right side
    50,674.78x = 6,319,079,913.54
  5. Step 5: Solve for x
    x = 6,319,079,913.54/50,674.78
  6. Step 6: Final answer
    x = 124,698.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.