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Finding the Third Proportional to 126,061.31 and 271,238.63

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Solution

The third proportional to 126,061.31 and 271,238.63 is: 583,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,061.31 : 271,238.63 = 271,238.63 : x
  2. Step 2: Convert to fraction form
    126,061.31/271,238.63 = 271,238.63/x
  3. Step 3: Cross multiply
    126,061.31x = 271,238.63 × 271,238.63
  4. Step 4: Simplify right side
    126,061.31x = 73,570,391,691.89
  5. Step 5: Solve for x
    x = 73,570,391,691.89/126,061.31
  6. Step 6: Final answer
    x = 583,608.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.