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Finding the Third Proportional to 86,068 and 120,990

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Solution

The third proportional to 86,068 and 120,990 is: 170,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,068 : 120,990 = 120,990 : x
  2. Step 2: Convert to fraction form
    86,068/120,990 = 120,990/x
  3. Step 3: Cross multiply
    86,068x = 120,990 × 120,990
  4. Step 4: Simplify right side
    86,068x = 14,638,580,100
  5. Step 5: Solve for x
    x = 14,638,580,100/86,068
  6. Step 6: Final answer
    x = 170,081.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.