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Finding the Third Proportional to 113,028.75 and 170,997.75

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Solution

The third proportional to 113,028.75 and 170,997.75 is: 258,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,028.75 : 170,997.75 = 170,997.75 : x
  2. Step 2: Convert to fraction form
    113,028.75/170,997.75 = 170,997.75/x
  3. Step 3: Cross multiply
    113,028.75x = 170,997.75 × 170,997.75
  4. Step 4: Simplify right side
    113,028.75x = 29,240,230,505.06
  5. Step 5: Solve for x
    x = 29,240,230,505.06/113,028.75
  6. Step 6: Final answer
    x = 258,697.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.