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Finding the Third Proportional to 57,716 and 126,018

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Solution

The third proportional to 57,716 and 126,018 is: 275,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716 : 126,018 = 126,018 : x
  2. Step 2: Convert to fraction form
    57,716/126,018 = 126,018/x
  3. Step 3: Cross multiply
    57,716x = 126,018 × 126,018
  4. Step 4: Simplify right side
    57,716x = 15,880,536,324
  5. Step 5: Solve for x
    x = 15,880,536,324/57,716
  6. Step 6: Final answer
    x = 275,149.63

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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.