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Finding the Third Proportional to 74,950 and 159,611

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Solution

The third proportional to 74,950 and 159,611 is: 339,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,950 : 159,611 = 159,611 : x
  2. Step 2: Convert to fraction form
    74,950/159,611 = 159,611/x
  3. Step 3: Cross multiply
    74,950x = 159,611 × 159,611
  4. Step 4: Simplify right side
    74,950x = 25,475,671,321
  5. Step 5: Solve for x
    x = 25,475,671,321/74,950
  6. Step 6: Final answer
    x = 339,902.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.