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Finding the Third Proportional to 108,066 and 173,631.75

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Solution

The third proportional to 108,066 and 173,631.75 is: 278,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,066 : 173,631.75 = 173,631.75 : x
  2. Step 2: Convert to fraction form
    108,066/173,631.75 = 173,631.75/x
  3. Step 3: Cross multiply
    108,066x = 173,631.75 × 173,631.75
  4. Step 4: Simplify right side
    108,066x = 30,147,984,608.06
  5. Step 5: Solve for x
    x = 30,147,984,608.06/108,066
  6. Step 6: Final answer
    x = 278,977.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.