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Finding the Third Proportional to 65,577 and 143,763

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Solution

The third proportional to 65,577 and 143,763 is: 315,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,577 : 143,763 = 143,763 : x
  2. Step 2: Convert to fraction form
    65,577/143,763 = 143,763/x
  3. Step 3: Cross multiply
    65,577x = 143,763 × 143,763
  4. Step 4: Simplify right side
    65,577x = 20,667,800,169
  5. Step 5: Solve for x
    x = 20,667,800,169/65,577
  6. Step 6: Final answer
    x = 315,168.43

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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.