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Finding the Third Proportional to 100,680 and 141,104

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Solution

The third proportional to 100,680 and 141,104 is: 197,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680 : 141,104 = 141,104 : x
  2. Step 2: Convert to fraction form
    100,680/141,104 = 141,104/x
  3. Step 3: Cross multiply
    100,680x = 141,104 × 141,104
  4. Step 4: Simplify right side
    100,680x = 19,910,338,816
  5. Step 5: Solve for x
    x = 19,910,338,816/100,680
  6. Step 6: Final answer
    x = 197,758.63

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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.