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Finding the Third Proportional to 51,176 and 78,950

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Solution

The third proportional to 51,176 and 78,950 is: 121,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176 : 78,950 = 78,950 : x
  2. Step 2: Convert to fraction form
    51,176/78,950 = 78,950/x
  3. Step 3: Cross multiply
    51,176x = 78,950 × 78,950
  4. Step 4: Simplify right side
    51,176x = 6,233,102,500
  5. Step 5: Solve for x
    x = 6,233,102,500/51,176
  6. Step 6: Final answer
    x = 121,797.38

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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.