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Finding the Third Proportional to 51,634 and 79,408

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Solution

The third proportional to 51,634 and 79,408 is: 122,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,634 : 79,408 = 79,408 : x
  2. Step 2: Convert to fraction form
    51,634/79,408 = 79,408/x
  3. Step 3: Cross multiply
    51,634x = 79,408 × 79,408
  4. Step 4: Simplify right side
    51,634x = 6,305,630,464
  5. Step 5: Solve for x
    x = 6,305,630,464/51,634
  6. Step 6: Final answer
    x = 122,121.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.