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Finding the Third Proportional to 100,548 and 140,544

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Solution

The third proportional to 100,548 and 140,544 is: 196,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548 : 140,544 = 140,544 : x
  2. Step 2: Convert to fraction form
    100,548/140,544 = 140,544/x
  3. Step 3: Cross multiply
    100,548x = 140,544 × 140,544
  4. Step 4: Simplify right side
    100,548x = 19,752,615,936
  5. Step 5: Solve for x
    x = 19,752,615,936/100,548
  6. Step 6: Final answer
    x = 196,449.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.