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Finding the Third Proportional to 104,256 and 148,544

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Solution

The third proportional to 104,256 and 148,544 is: 211,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,256 : 148,544 = 148,544 : x
  2. Step 2: Convert to fraction form
    104,256/148,544 = 148,544/x
  3. Step 3: Cross multiply
    104,256x = 148,544 × 148,544
  4. Step 4: Simplify right side
    104,256x = 22,065,319,936
  5. Step 5: Solve for x
    x = 22,065,319,936/104,256
  6. Step 6: Final answer
    x = 211,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.