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Finding the Third Proportional to 45,074.25 and 104,343.75

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Solution

The third proportional to 45,074.25 and 104,343.75 is: 241,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,074.25 : 104,343.75 = 104,343.75 : x
  2. Step 2: Convert to fraction form
    45,074.25/104,343.75 = 104,343.75/x
  3. Step 3: Cross multiply
    45,074.25x = 104,343.75 × 104,343.75
  4. Step 4: Simplify right side
    45,074.25x = 10,887,618,164.06
  5. Step 5: Solve for x
    x = 10,887,618,164.06/45,074.25
  6. Step 6: Final answer
    x = 241,548.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.