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Finding the Third Proportional to 54,236 and 126,710

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Solution

The third proportional to 54,236 and 126,710 is: 296,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236 : 126,710 = 126,710 : x
  2. Step 2: Convert to fraction form
    54,236/126,710 = 126,710/x
  3. Step 3: Cross multiply
    54,236x = 126,710 × 126,710
  4. Step 4: Simplify right side
    54,236x = 16,055,424,100
  5. Step 5: Solve for x
    x = 16,055,424,100/54,236
  6. Step 6: Final answer
    x = 296,028.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.