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Finding the Third Proportional to 108,003.75 and 166,517.25

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Solution

The third proportional to 108,003.75 and 166,517.25 is: 256,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,003.75 : 166,517.25 = 166,517.25 : x
  2. Step 2: Convert to fraction form
    108,003.75/166,517.25 = 166,517.25/x
  3. Step 3: Cross multiply
    108,003.75x = 166,517.25 × 166,517.25
  4. Step 4: Simplify right side
    108,003.75x = 27,727,994,547.56
  5. Step 5: Solve for x
    x = 27,727,994,547.56/108,003.75
  6. Step 6: Final answer
    x = 256,731.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.