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Finding the Third Proportional to 86,165 and 128,731

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Solution

The third proportional to 86,165 and 128,731 is: 192,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165 : 128,731 = 128,731 : x
  2. Step 2: Convert to fraction form
    86,165/128,731 = 128,731/x
  3. Step 3: Cross multiply
    86,165x = 128,731 × 128,731
  4. Step 4: Simplify right side
    86,165x = 16,571,670,361
  5. Step 5: Solve for x
    x = 16,571,670,361/86,165
  6. Step 6: Final answer
    x = 192,324.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.