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Finding the Third Proportional to 86,190 and 128,766

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Solution

The third proportional to 86,190 and 128,766 is: 192,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,190 : 128,766 = 128,766 : x
  2. Step 2: Convert to fraction form
    86,190/128,766 = 128,766/x
  3. Step 3: Cross multiply
    86,190x = 128,766 × 128,766
  4. Step 4: Simplify right side
    86,190x = 16,580,682,756
  5. Step 5: Solve for x
    x = 16,580,682,756/86,190
  6. Step 6: Final answer
    x = 192,373.63

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Why These Related Problems?

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