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Finding the Third Proportional to 108,114.75 and 161,286.19

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Solution

The third proportional to 108,114.75 and 161,286.19 is: 240,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,114.75 : 161,286.19 = 161,286.19 : x
  2. Step 2: Convert to fraction form
    108,114.75/161,286.19 = 161,286.19/x
  3. Step 3: Cross multiply
    108,114.75x = 161,286.19 × 161,286.19
  4. Step 4: Simplify right side
    108,114.75x = 26,013,234,278.29
  5. Step 5: Solve for x
    x = 26,013,234,278.29/108,114.75
  6. Step 6: Final answer
    x = 240,607.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.