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Finding the Third Proportional to 50,359 and 68,152

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Solution

The third proportional to 50,359 and 68,152 is: 92,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,359 : 68,152 = 68,152 : x
  2. Step 2: Convert to fraction form
    50,359/68,152 = 68,152/x
  3. Step 3: Cross multiply
    50,359x = 68,152 × 68,152
  4. Step 4: Simplify right side
    50,359x = 4,644,695,104
  5. Step 5: Solve for x
    x = 4,644,695,104/50,359
  6. Step 6: Final answer
    x = 92,231.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.