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Finding the Third Proportional to 143,982 and 162,025

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Solution

The third proportional to 143,982 and 162,025 is: 182,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,982 : 162,025 = 162,025 : x
  2. Step 2: Convert to fraction form
    143,982/162,025 = 162,025/x
  3. Step 3: Cross multiply
    143,982x = 162,025 × 162,025
  4. Step 4: Simplify right side
    143,982x = 26,252,100,625
  5. Step 5: Solve for x
    x = 26,252,100,625/143,982
  6. Step 6: Final answer
    x = 182,329.05

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.