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Finding the Third Proportional to 49,256 and 118,208

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Solution

The third proportional to 49,256 and 118,208 is: 283,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256 : 118,208 = 118,208 : x
  2. Step 2: Convert to fraction form
    49,256/118,208 = 118,208/x
  3. Step 3: Cross multiply
    49,256x = 118,208 × 118,208
  4. Step 4: Simplify right side
    49,256x = 13,973,131,264
  5. Step 5: Solve for x
    x = 13,973,131,264/49,256
  6. Step 6: Final answer
    x = 283,683.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.