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Finding the Third Proportional to 100,163 and 154,885

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Solution

The third proportional to 100,163 and 154,885 is: 239,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,163 : 154,885 = 154,885 : x
  2. Step 2: Convert to fraction form
    100,163/154,885 = 154,885/x
  3. Step 3: Cross multiply
    100,163x = 154,885 × 154,885
  4. Step 4: Simplify right side
    100,163x = 23,989,363,225
  5. Step 5: Solve for x
    x = 23,989,363,225/100,163
  6. Step 6: Final answer
    x = 239,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.