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Finding the Third Proportional to 65,659 and 143,199

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Solution

The third proportional to 65,659 and 143,199 is: 312,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659 : 143,199 = 143,199 : x
  2. Step 2: Convert to fraction form
    65,659/143,199 = 143,199/x
  3. Step 3: Cross multiply
    65,659x = 143,199 × 143,199
  4. Step 4: Simplify right side
    65,659x = 20,505,953,601
  5. Step 5: Solve for x
    x = 20,505,953,601/65,659
  6. Step 6: Final answer
    x = 312,309.87

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Why These Related Problems?

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