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Finding the Third Proportional to 62,264 and 126,448

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Solution

The third proportional to 62,264 and 126,448 is: 256,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,264 : 126,448 = 126,448 : x
  2. Step 2: Convert to fraction form
    62,264/126,448 = 126,448/x
  3. Step 3: Cross multiply
    62,264x = 126,448 × 126,448
  4. Step 4: Simplify right side
    62,264x = 15,989,096,704
  5. Step 5: Solve for x
    x = 15,989,096,704/62,264
  6. Step 6: Final answer
    x = 256,795.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.