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Finding the Third Proportional to 81,459.75 and 174,309.75

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Solution

The third proportional to 81,459.75 and 174,309.75 is: 372,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,459.75 : 174,309.75 = 174,309.75 : x
  2. Step 2: Convert to fraction form
    81,459.75/174,309.75 = 174,309.75/x
  3. Step 3: Cross multiply
    81,459.75x = 174,309.75 × 174,309.75
  4. Step 4: Simplify right side
    81,459.75x = 30,383,888,945.06
  5. Step 5: Solve for x
    x = 30,383,888,945.06/81,459.75
  6. Step 6: Final answer
    x = 372,992.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.