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Finding the Third Proportional to 126,802 and 189,806

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Solution

The third proportional to 126,802 and 189,806 is: 284,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,802 : 189,806 = 189,806 : x
  2. Step 2: Convert to fraction form
    126,802/189,806 = 189,806/x
  3. Step 3: Cross multiply
    126,802x = 189,806 × 189,806
  4. Step 4: Simplify right side
    126,802x = 36,026,317,636
  5. Step 5: Solve for x
    x = 36,026,317,636/126,802
  6. Step 6: Final answer
    x = 284,114.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.