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Finding the Third Proportional to 59,791 and 126,873

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Solution

The third proportional to 59,791 and 126,873 is: 269,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,791 : 126,873 = 126,873 : x
  2. Step 2: Convert to fraction form
    59,791/126,873 = 126,873/x
  3. Step 3: Cross multiply
    59,791x = 126,873 × 126,873
  4. Step 4: Simplify right side
    59,791x = 16,096,758,129
  5. Step 5: Solve for x
    x = 16,096,758,129/59,791
  6. Step 6: Final answer
    x = 269,217.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.