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Finding the Third Proportional to 88,251 and 140,245

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Solution

The third proportional to 88,251 and 140,245 is: 222,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,251 : 140,245 = 140,245 : x
  2. Step 2: Convert to fraction form
    88,251/140,245 = 140,245/x
  3. Step 3: Cross multiply
    88,251x = 140,245 × 140,245
  4. Step 4: Simplify right side
    88,251x = 19,668,660,025
  5. Step 5: Solve for x
    x = 19,668,660,025/88,251
  6. Step 6: Final answer
    x = 222,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.