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Finding the Third Proportional to 129,123 and 281,110

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Solution

The third proportional to 129,123 and 281,110 is: 611,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,123 : 281,110 = 281,110 : x
  2. Step 2: Convert to fraction form
    129,123/281,110 = 281,110/x
  3. Step 3: Cross multiply
    129,123x = 281,110 × 281,110
  4. Step 4: Simplify right side
    129,123x = 79,022,832,100
  5. Step 5: Solve for x
    x = 79,022,832,100/129,123
  6. Step 6: Final answer
    x = 611,996.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.