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Finding the Third Proportional to 74,796.75 and 175,992.75

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Solution

The third proportional to 74,796.75 and 175,992.75 is: 414,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,796.75 : 175,992.75 = 175,992.75 : x
  2. Step 2: Convert to fraction form
    74,796.75/175,992.75 = 175,992.75/x
  3. Step 3: Cross multiply
    74,796.75x = 175,992.75 × 175,992.75
  4. Step 4: Simplify right side
    74,796.75x = 30,973,448,052.56
  5. Step 5: Solve for x
    x = 30,973,448,052.56/74,796.75
  6. Step 6: Final answer
    x = 414,101.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.