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Finding the Third Proportional to 112,729 and 168,736

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Solution

The third proportional to 112,729 and 168,736 is: 252,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,729 : 168,736 = 168,736 : x
  2. Step 2: Convert to fraction form
    112,729/168,736 = 168,736/x
  3. Step 3: Cross multiply
    112,729x = 168,736 × 168,736
  4. Step 4: Simplify right side
    112,729x = 28,471,837,696
  5. Step 5: Solve for x
    x = 28,471,837,696/112,729
  6. Step 6: Final answer
    x = 252,568.88

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