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Finding the Third Proportional to 123,556 and 167,811

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Solution

The third proportional to 123,556 and 167,811 is: 227,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,556 : 167,811 = 167,811 : x
  2. Step 2: Convert to fraction form
    123,556/167,811 = 167,811/x
  3. Step 3: Cross multiply
    123,556x = 167,811 × 167,811
  4. Step 4: Simplify right side
    123,556x = 28,160,531,721
  5. Step 5: Solve for x
    x = 28,160,531,721/123,556
  6. Step 6: Final answer
    x = 227,917.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.