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Finding the Third Proportional to 100,250 and 140,163

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Solution

The third proportional to 100,250 and 140,163 is: 195,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,250 : 140,163 = 140,163 : x
  2. Step 2: Convert to fraction form
    100,250/140,163 = 140,163/x
  3. Step 3: Cross multiply
    100,250x = 140,163 × 140,163
  4. Step 4: Simplify right side
    100,250x = 19,645,666,569
  5. Step 5: Solve for x
    x = 19,645,666,569/100,250
  6. Step 6: Final answer
    x = 195,966.75

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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.