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Finding the Third Proportional to 50,498 and 79,043

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Solution

The third proportional to 50,498 and 79,043 is: 123,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 79,043 = 79,043 : x
  2. Step 2: Convert to fraction form
    50,498/79,043 = 79,043/x
  3. Step 3: Cross multiply
    50,498x = 79,043 × 79,043
  4. Step 4: Simplify right side
    50,498x = 6,247,795,849
  5. Step 5: Solve for x
    x = 6,247,795,849/50,498
  6. Step 6: Final answer
    x = 123,723.63

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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.