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Finding the Third Proportional to 50,176 and 77,734

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Solution

The third proportional to 50,176 and 77,734 is: 120,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,176 : 77,734 = 77,734 : x
  2. Step 2: Convert to fraction form
    50,176/77,734 = 77,734/x
  3. Step 3: Cross multiply
    50,176x = 77,734 × 77,734
  4. Step 4: Simplify right side
    50,176x = 6,042,574,756
  5. Step 5: Solve for x
    x = 6,042,574,756/50,176
  6. Step 6: Final answer
    x = 120,427.59

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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.