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Finding the Third Proportional to 61,256 and 126,448

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Solution

The third proportional to 61,256 and 126,448 is: 261,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,256 : 126,448 = 126,448 : x
  2. Step 2: Convert to fraction form
    61,256/126,448 = 126,448/x
  3. Step 3: Cross multiply
    61,256x = 126,448 × 126,448
  4. Step 4: Simplify right side
    61,256x = 15,989,096,704
  5. Step 5: Solve for x
    x = 15,989,096,704/61,256
  6. Step 6: Final answer
    x = 261,020.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.