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Finding the Third Proportional to 100,052 and 140,718

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Solution

The third proportional to 100,052 and 140,718 is: 197,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052 : 140,718 = 140,718 : x
  2. Step 2: Convert to fraction form
    100,052/140,718 = 140,718/x
  3. Step 3: Cross multiply
    100,052x = 140,718 × 140,718
  4. Step 4: Simplify right side
    100,052x = 19,801,555,524
  5. Step 5: Solve for x
    x = 19,801,555,524/100,052
  6. Step 6: Final answer
    x = 197,912.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.