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Finding the Third Proportional to 108,971 and 150,064

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Solution

The third proportional to 108,971 and 150,064 is: 206,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,971 : 150,064 = 150,064 : x
  2. Step 2: Convert to fraction form
    108,971/150,064 = 150,064/x
  3. Step 3: Cross multiply
    108,971x = 150,064 × 150,064
  4. Step 4: Simplify right side
    108,971x = 22,519,204,096
  5. Step 5: Solve for x
    x = 22,519,204,096/108,971
  6. Step 6: Final answer
    x = 206,653.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.