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Finding the Third Proportional to 57,110 and 126,464

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Solution

The third proportional to 57,110 and 126,464 is: 280,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110 : 126,464 = 126,464 : x
  2. Step 2: Convert to fraction form
    57,110/126,464 = 126,464/x
  3. Step 3: Cross multiply
    57,110x = 126,464 × 126,464
  4. Step 4: Simplify right side
    57,110x = 15,993,143,296
  5. Step 5: Solve for x
    x = 15,993,143,296/57,110
  6. Step 6: Final answer
    x = 280,041.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.