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Finding the Third Proportional to 143,977.50 and 162,020.25

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Solution

The third proportional to 143,977.50 and 162,020.25 is: 182,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,977.50 : 162,020.25 = 162,020.25 : x
  2. Step 2: Convert to fraction form
    143,977.50/162,020.25 = 162,020.25/x
  3. Step 3: Cross multiply
    143,977.50x = 162,020.25 × 162,020.25
  4. Step 4: Simplify right side
    143,977.50x = 26,250,561,410.06
  5. Step 5: Solve for x
    x = 26,250,561,410.06/143,977.50
  6. Step 6: Final answer
    x = 182,324.05

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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.