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Finding the Third Proportional to 108,657 and 168,105

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Solution

The third proportional to 108,657 and 168,105 is: 260,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,657 : 168,105 = 168,105 : x
  2. Step 2: Convert to fraction form
    108,657/168,105 = 168,105/x
  3. Step 3: Cross multiply
    108,657x = 168,105 × 168,105
  4. Step 4: Simplify right side
    108,657x = 28,259,291,025
  5. Step 5: Solve for x
    x = 28,259,291,025/108,657
  6. Step 6: Final answer
    x = 260,077.96

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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.