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Finding the Third Proportional to 115,968 and 179,190

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Solution

The third proportional to 115,968 and 179,190 is: 276,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,968 : 179,190 = 179,190 : x
  2. Step 2: Convert to fraction form
    115,968/179,190 = 179,190/x
  3. Step 3: Cross multiply
    115,968x = 179,190 × 179,190
  4. Step 4: Simplify right side
    115,968x = 32,109,056,100
  5. Step 5: Solve for x
    x = 32,109,056,100/115,968
  6. Step 6: Final answer
    x = 276,878.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.