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Finding the Third Proportional to 108,783 and 166,394.25

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Solution

The third proportional to 108,783 and 166,394.25 is: 254,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,783 : 166,394.25 = 166,394.25 : x
  2. Step 2: Convert to fraction form
    108,783/166,394.25 = 166,394.25/x
  3. Step 3: Cross multiply
    108,783x = 166,394.25 × 166,394.25
  4. Step 4: Simplify right side
    108,783x = 27,687,046,433.06
  5. Step 5: Solve for x
    x = 27,687,046,433.06/108,783
  6. Step 6: Final answer
    x = 254,516.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.