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Finding the Third Proportional to 108,350 and 143,805

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Solution

The third proportional to 108,350 and 143,805 is: 190,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,350 : 143,805 = 143,805 : x
  2. Step 2: Convert to fraction form
    108,350/143,805 = 143,805/x
  3. Step 3: Cross multiply
    108,350x = 143,805 × 143,805
  4. Step 4: Simplify right side
    108,350x = 20,679,878,025
  5. Step 5: Solve for x
    x = 20,679,878,025/108,350
  6. Step 6: Final answer
    x = 190,861.82

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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.