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Finding the Third Proportional to 65,631.38 and 143,141.25

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Solution

The third proportional to 65,631.38 and 143,141.25 is: 312,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,631.38 : 143,141.25 = 143,141.25 : x
  2. Step 2: Convert to fraction form
    65,631.38/143,141.25 = 143,141.25/x
  3. Step 3: Cross multiply
    65,631.38x = 143,141.25 × 143,141.25
  4. Step 4: Simplify right side
    65,631.38x = 20,489,417,451.56
  5. Step 5: Solve for x
    x = 20,489,417,451.56/65,631.38
  6. Step 6: Final answer
    x = 312,189.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.