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Finding the Third Proportional to 65,529 and 141,777

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Solution

The third proportional to 65,529 and 141,777 is: 306,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529 : 141,777 = 141,777 : x
  2. Step 2: Convert to fraction form
    65,529/141,777 = 141,777/x
  3. Step 3: Cross multiply
    65,529x = 141,777 × 141,777
  4. Step 4: Simplify right side
    65,529x = 20,100,717,729
  5. Step 5: Solve for x
    x = 20,100,717,729/65,529
  6. Step 6: Final answer
    x = 306,745.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.