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Finding the Third Proportional to 126,642 and 188,011

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Solution

The third proportional to 126,642 and 188,011 is: 279,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,642 : 188,011 = 188,011 : x
  2. Step 2: Convert to fraction form
    126,642/188,011 = 188,011/x
  3. Step 3: Cross multiply
    126,642x = 188,011 × 188,011
  4. Step 4: Simplify right side
    126,642x = 35,348,136,121
  5. Step 5: Solve for x
    x = 35,348,136,121/126,642
  6. Step 6: Final answer
    x = 279,118.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.