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Finding the Third Proportional to 108,736 and 168,054

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Solution

The third proportional to 108,736 and 168,054 is: 259,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,736 : 168,054 = 168,054 : x
  2. Step 2: Convert to fraction form
    108,736/168,054 = 168,054/x
  3. Step 3: Cross multiply
    108,736x = 168,054 × 168,054
  4. Step 4: Simplify right side
    108,736x = 28,242,146,916
  5. Step 5: Solve for x
    x = 28,242,146,916/108,736
  6. Step 6: Final answer
    x = 259,731.34

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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.