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Finding the Third Proportional to 75,104 and 164,896

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Solution

The third proportional to 75,104 and 164,896 is: 362,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 164,896 = 164,896 : x
  2. Step 2: Convert to fraction form
    75,104/164,896 = 164,896/x
  3. Step 3: Cross multiply
    75,104x = 164,896 × 164,896
  4. Step 4: Simplify right side
    75,104x = 27,190,690,816
  5. Step 5: Solve for x
    x = 27,190,690,816/75,104
  6. Step 6: Final answer
    x = 362,040.51

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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.