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Finding the Third Proportional to 50,172 and 68,337

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Solution

The third proportional to 50,172 and 68,337 is: 93,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172 : 68,337 = 68,337 : x
  2. Step 2: Convert to fraction form
    50,172/68,337 = 68,337/x
  3. Step 3: Cross multiply
    50,172x = 68,337 × 68,337
  4. Step 4: Simplify right side
    50,172x = 4,669,945,569
  5. Step 5: Solve for x
    x = 4,669,945,569/50,172
  6. Step 6: Final answer
    x = 93,078.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.