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Finding the Third Proportional to 49,722 and 74,623

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Solution

The third proportional to 49,722 and 74,623 is: 111,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722 : 74,623 = 74,623 : x
  2. Step 2: Convert to fraction form
    49,722/74,623 = 74,623/x
  3. Step 3: Cross multiply
    49,722x = 74,623 × 74,623
  4. Step 4: Simplify right side
    49,722x = 5,568,592,129
  5. Step 5: Solve for x
    x = 5,568,592,129/49,722
  6. Step 6: Final answer
    x = 111,994.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.