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Finding the Third Proportional to 51,021 and 79,194

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Solution

The third proportional to 51,021 and 79,194 is: 122,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,021 : 79,194 = 79,194 : x
  2. Step 2: Convert to fraction form
    51,021/79,194 = 79,194/x
  3. Step 3: Cross multiply
    51,021x = 79,194 × 79,194
  4. Step 4: Simplify right side
    51,021x = 6,271,689,636
  5. Step 5: Solve for x
    x = 6,271,689,636/51,021
  6. Step 6: Final answer
    x = 122,923.69

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Why These Related Problems?

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