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Finding the Third Proportional to 75,999 and 164,573.25

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Solution

The third proportional to 75,999 and 164,573.25 is: 356,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999 : 164,573.25 = 164,573.25 : x
  2. Step 2: Convert to fraction form
    75,999/164,573.25 = 164,573.25/x
  3. Step 3: Cross multiply
    75,999x = 164,573.25 × 164,573.25
  4. Step 4: Simplify right side
    75,999x = 27,084,354,615.56
  5. Step 5: Solve for x
    x = 27,084,354,615.56/75,999
  6. Step 6: Final answer
    x = 356,377.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.