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Finding the Third Proportional to 74,799 and 164,765

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Solution

The third proportional to 74,799 and 164,765 is: 362,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,799 : 164,765 = 164,765 : x
  2. Step 2: Convert to fraction form
    74,799/164,765 = 164,765/x
  3. Step 3: Cross multiply
    74,799x = 164,765 × 164,765
  4. Step 4: Simplify right side
    74,799x = 27,147,505,225
  5. Step 5: Solve for x
    x = 27,147,505,225/74,799
  6. Step 6: Final answer
    x = 362,939.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.