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Finding the Third Proportional to 86,220 and 128,799

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Solution

The third proportional to 86,220 and 128,799 is: 192,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,220 : 128,799 = 128,799 : x
  2. Step 2: Convert to fraction form
    86,220/128,799 = 128,799/x
  3. Step 3: Cross multiply
    86,220x = 128,799 × 128,799
  4. Step 4: Simplify right side
    86,220x = 16,589,182,401
  5. Step 5: Solve for x
    x = 16,589,182,401/86,220
  6. Step 6: Final answer
    x = 192,405.27

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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.