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Finding the Third Proportional to 57,745.69 and 86,383.13

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Solution

The third proportional to 57,745.69 and 86,383.13 is: 129,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.69 : 86,383.13 = 86,383.13 : x
  2. Step 2: Convert to fraction form
    57,745.69/86,383.13 = 86,383.13/x
  3. Step 3: Cross multiply
    57,745.69x = 86,383.13 × 86,383.13
  4. Step 4: Simplify right side
    57,745.69x = 7,462,044,284.77
  5. Step 5: Solve for x
    x = 7,462,044,284.77/57,745.69
  6. Step 6: Final answer
    x = 129,222.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.