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Finding the Third Proportional to 57,813 and 126,210

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Solution

The third proportional to 57,813 and 126,210 is: 275,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,813 : 126,210 = 126,210 : x
  2. Step 2: Convert to fraction form
    57,813/126,210 = 126,210/x
  3. Step 3: Cross multiply
    57,813x = 126,210 × 126,210
  4. Step 4: Simplify right side
    57,813x = 15,928,964,100
  5. Step 5: Solve for x
    x = 15,928,964,100/57,813
  6. Step 6: Final answer
    x = 275,525.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.