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Finding the Third Proportional to 65,735 and 143,909

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Solution

The third proportional to 65,735 and 143,909 is: 315,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735 : 143,909 = 143,909 : x
  2. Step 2: Convert to fraction form
    65,735/143,909 = 143,909/x
  3. Step 3: Cross multiply
    65,735x = 143,909 × 143,909
  4. Step 4: Simplify right side
    65,735x = 20,709,800,281
  5. Step 5: Solve for x
    x = 20,709,800,281/65,735
  6. Step 6: Final answer
    x = 315,049.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.