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Finding the Third Proportional to 81,885.94 and 173,613.38

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Solution

The third proportional to 81,885.94 and 173,613.38 is: 368,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.94 : 173,613.38 = 173,613.38 : x
  2. Step 2: Convert to fraction form
    81,885.94/173,613.38 = 173,613.38/x
  3. Step 3: Cross multiply
    81,885.94x = 173,613.38 × 173,613.38
  4. Step 4: Simplify right side
    81,885.94x = 30,141,603,978.89
  5. Step 5: Solve for x
    x = 30,141,603,978.89/81,885.94
  6. Step 6: Final answer
    x = 368,092.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.