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Finding the Third Proportional to 108,158 and 144,676

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Solution

The third proportional to 108,158 and 144,676 is: 193,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,158 : 144,676 = 144,676 : x
  2. Step 2: Convert to fraction form
    108,158/144,676 = 144,676/x
  3. Step 3: Cross multiply
    108,158x = 144,676 × 144,676
  4. Step 4: Simplify right side
    108,158x = 20,931,144,976
  5. Step 5: Solve for x
    x = 20,931,144,976/108,158
  6. Step 6: Final answer
    x = 193,523.78

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.