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Finding the Third Proportional to 126,052.88 and 271,221.75

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Solution

The third proportional to 126,052.88 and 271,221.75 is: 583,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052.88 : 271,221.75 = 271,221.75 : x
  2. Step 2: Convert to fraction form
    126,052.88/271,221.75 = 271,221.75/x
  3. Step 3: Cross multiply
    126,052.88x = 271,221.75 × 271,221.75
  4. Step 4: Simplify right side
    126,052.88x = 73,561,237,673.06
  5. Step 5: Solve for x
    x = 73,561,237,673.06/126,052.88
  6. Step 6: Final answer
    x = 583,574.45

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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.