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Finding the Third Proportional to 108,377 and 143,842

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Solution

The third proportional to 108,377 and 143,842 is: 190,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,377 : 143,842 = 143,842 : x
  2. Step 2: Convert to fraction form
    108,377/143,842 = 143,842/x
  3. Step 3: Cross multiply
    108,377x = 143,842 × 143,842
  4. Step 4: Simplify right side
    108,377x = 20,690,520,964
  5. Step 5: Solve for x
    x = 20,690,520,964/108,377
  6. Step 6: Final answer
    x = 190,912.47

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.