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Finding the Third Proportional to 76,175.25 and 165,062.25

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Solution

The third proportional to 76,175.25 and 165,062.25 is: 357,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,175.25 : 165,062.25 = 165,062.25 : x
  2. Step 2: Convert to fraction form
    76,175.25/165,062.25 = 165,062.25/x
  3. Step 3: Cross multiply
    76,175.25x = 165,062.25 × 165,062.25
  4. Step 4: Simplify right side
    76,175.25x = 27,245,546,375.06
  5. Step 5: Solve for x
    x = 27,245,546,375.06/76,175.25
  6. Step 6: Final answer
    x = 357,669.27

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