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Finding the Third Proportional to 108,836 and 168,172

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Solution

The third proportional to 108,836 and 168,172 is: 259,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,836 : 168,172 = 168,172 : x
  2. Step 2: Convert to fraction form
    108,836/168,172 = 168,172/x
  3. Step 3: Cross multiply
    108,836x = 168,172 × 168,172
  4. Step 4: Simplify right side
    108,836x = 28,281,821,584
  5. Step 5: Solve for x
    x = 28,281,821,584/108,836
  6. Step 6: Final answer
    x = 259,857.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.