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Finding the Third Proportional to 50,467 and 78,368

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Solution

The third proportional to 50,467 and 78,368 is: 121,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467 : 78,368 = 78,368 : x
  2. Step 2: Convert to fraction form
    50,467/78,368 = 78,368/x
  3. Step 3: Cross multiply
    50,467x = 78,368 × 78,368
  4. Step 4: Simplify right side
    50,467x = 6,141,543,424
  5. Step 5: Solve for x
    x = 6,141,543,424/50,467
  6. Step 6: Final answer
    x = 121,694.24

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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.