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Finding the Third Proportional to 50,223 and 68,209

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Solution

The third proportional to 50,223 and 68,209 is: 92,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223 : 68,209 = 68,209 : x
  2. Step 2: Convert to fraction form
    50,223/68,209 = 68,209/x
  3. Step 3: Cross multiply
    50,223x = 68,209 × 68,209
  4. Step 4: Simplify right side
    50,223x = 4,652,467,681
  5. Step 5: Solve for x
    x = 4,652,467,681/50,223
  6. Step 6: Final answer
    x = 92,636.20

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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.