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Finding the Third Proportional to 108,954 and 150,030

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Solution

The third proportional to 108,954 and 150,030 is: 206,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,954 : 150,030 = 150,030 : x
  2. Step 2: Convert to fraction form
    108,954/150,030 = 150,030/x
  3. Step 3: Cross multiply
    108,954x = 150,030 × 150,030
  4. Step 4: Simplify right side
    108,954x = 22,509,000,900
  5. Step 5: Solve for x
    x = 22,509,000,900/108,954
  6. Step 6: Final answer
    x = 206,591.78

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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.