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Finding the Third Proportional to 121,871.75 and 271,750.25

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Solution

The third proportional to 121,871.75 and 271,750.25 is: 605,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,871.75 : 271,750.25 = 271,750.25 : x
  2. Step 2: Convert to fraction form
    121,871.75/271,750.25 = 271,750.25/x
  3. Step 3: Cross multiply
    121,871.75x = 271,750.25 × 271,750.25
  4. Step 4: Simplify right side
    121,871.75x = 73,848,198,375.06
  5. Step 5: Solve for x
    x = 73,848,198,375.06/121,871.75
  6. Step 6: Final answer
    x = 605,950.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.