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Finding the Third Proportional to 100,876 and 146,562

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Solution

The third proportional to 100,876 and 146,562 is: 212,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,876 : 146,562 = 146,562 : x
  2. Step 2: Convert to fraction form
    100,876/146,562 = 146,562/x
  3. Step 3: Cross multiply
    100,876x = 146,562 × 146,562
  4. Step 4: Simplify right side
    100,876x = 21,480,419,844
  5. Step 5: Solve for x
    x = 21,480,419,844/100,876
  6. Step 6: Final answer
    x = 212,938.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.