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Finding the Third Proportional to 75,969 and 165,611.25

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Solution

The third proportional to 75,969 and 165,611.25 is: 361,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969 : 165,611.25 = 165,611.25 : x
  2. Step 2: Convert to fraction form
    75,969/165,611.25 = 165,611.25/x
  3. Step 3: Cross multiply
    75,969x = 165,611.25 × 165,611.25
  4. Step 4: Simplify right side
    75,969x = 27,427,086,126.56
  5. Step 5: Solve for x
    x = 27,427,086,126.56/75,969
  6. Step 6: Final answer
    x = 361,029.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.