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Finding the Third Proportional to 108,990 and 150,090

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Solution

The third proportional to 108,990 and 150,090 is: 206,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,990 : 150,090 = 150,090 : x
  2. Step 2: Convert to fraction form
    108,990/150,090 = 150,090/x
  3. Step 3: Cross multiply
    108,990x = 150,090 × 150,090
  4. Step 4: Simplify right side
    108,990x = 22,527,008,100
  5. Step 5: Solve for x
    x = 22,527,008,100/108,990
  6. Step 6: Final answer
    x = 206,688.76

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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.