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Finding the Third Proportional to 112,674 and 168,660

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Solution

The third proportional to 112,674 and 168,660 is: 252,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,674 : 168,660 = 168,660 : x
  2. Step 2: Convert to fraction form
    112,674/168,660 = 168,660/x
  3. Step 3: Cross multiply
    112,674x = 168,660 × 168,660
  4. Step 4: Simplify right side
    112,674x = 28,446,195,600
  5. Step 5: Solve for x
    x = 28,446,195,600/112,674
  6. Step 6: Final answer
    x = 252,464.59

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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.