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Finding the Third Proportional to 83,163.38 and 127,239.75

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Solution

The third proportional to 83,163.38 and 127,239.75 is: 194,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.38 : 127,239.75 = 127,239.75 : x
  2. Step 2: Convert to fraction form
    83,163.38/127,239.75 = 127,239.75/x
  3. Step 3: Cross multiply
    83,163.38x = 127,239.75 × 127,239.75
  4. Step 4: Simplify right side
    83,163.38x = 16,189,953,980.06
  5. Step 5: Solve for x
    x = 16,189,953,980.06/83,163.38
  6. Step 6: Final answer
    x = 194,676.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.