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Finding the Third Proportional to 65,601 and 143,811

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Solution

The third proportional to 65,601 and 143,811 is: 315,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,601 : 143,811 = 143,811 : x
  2. Step 2: Convert to fraction form
    65,601/143,811 = 143,811/x
  3. Step 3: Cross multiply
    65,601x = 143,811 × 143,811
  4. Step 4: Simplify right side
    65,601x = 20,681,603,721
  5. Step 5: Solve for x
    x = 20,681,603,721/65,601
  6. Step 6: Final answer
    x = 315,263.54

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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.