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Finding the Third Proportional to 126,170 and 266,556

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Solution

The third proportional to 126,170 and 266,556 is: 563,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,170 : 266,556 = 266,556 : x
  2. Step 2: Convert to fraction form
    126,170/266,556 = 266,556/x
  3. Step 3: Cross multiply
    126,170x = 266,556 × 266,556
  4. Step 4: Simplify right side
    126,170x = 71,052,101,136
  5. Step 5: Solve for x
    x = 71,052,101,136/126,170
  6. Step 6: Final answer
    x = 563,145.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.