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Finding the Third Proportional to 54,301 and 126,873

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Solution

The third proportional to 54,301 and 126,873 is: 296,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301 : 126,873 = 126,873 : x
  2. Step 2: Convert to fraction form
    54,301/126,873 = 126,873/x
  3. Step 3: Cross multiply
    54,301x = 126,873 × 126,873
  4. Step 4: Simplify right side
    54,301x = 16,096,758,129
  5. Step 5: Solve for x
    x = 16,096,758,129/54,301
  6. Step 6: Final answer
    x = 296,435.76

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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.