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Finding the Third Proportional to 121,871.25 and 271,749.09

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Solution

The third proportional to 121,871.25 and 271,749.09 is: 605,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,871.25 : 271,749.09 = 271,749.09 : x
  2. Step 2: Convert to fraction form
    121,871.25/271,749.09 = 271,749.09/x
  3. Step 3: Cross multiply
    121,871.25x = 271,749.09 × 271,749.09
  4. Step 4: Simplify right side
    121,871.25x = 73,847,569,953.95
  5. Step 5: Solve for x
    x = 73,847,569,953.95/121,871.25
  6. Step 6: Final answer
    x = 605,947.42

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