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Finding the Third Proportional to 126,136 and 275,954

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Solution

The third proportional to 126,136 and 275,954 is: 603,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,136 : 275,954 = 275,954 : x
  2. Step 2: Convert to fraction form
    126,136/275,954 = 275,954/x
  3. Step 3: Cross multiply
    126,136x = 275,954 × 275,954
  4. Step 4: Simplify right side
    126,136x = 76,150,610,116
  5. Step 5: Solve for x
    x = 76,150,610,116/126,136
  6. Step 6: Final answer
    x = 603,718.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.