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Finding the Third Proportional to 110,079 and 182,796.75

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Solution

The third proportional to 110,079 and 182,796.75 is: 303,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,079 : 182,796.75 = 182,796.75 : x
  2. Step 2: Convert to fraction form
    110,079/182,796.75 = 182,796.75/x
  3. Step 3: Cross multiply
    110,079x = 182,796.75 × 182,796.75
  4. Step 4: Simplify right side
    110,079x = 33,414,651,810.56
  5. Step 5: Solve for x
    x = 33,414,651,810.56/110,079
  6. Step 6: Final answer
    x = 303,551.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.