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Finding the Third Proportional to 50,221 and 68,130

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Solution

The third proportional to 50,221 and 68,130 is: 92,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221 : 68,130 = 68,130 : x
  2. Step 2: Convert to fraction form
    50,221/68,130 = 68,130/x
  3. Step 3: Cross multiply
    50,221x = 68,130 × 68,130
  4. Step 4: Simplify right side
    50,221x = 4,641,696,900
  5. Step 5: Solve for x
    x = 4,641,696,900/50,221
  6. Step 6: Final answer
    x = 92,425.42

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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.