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Finding the Third Proportional to 65,595 and 95,811

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Solution

The third proportional to 65,595 and 95,811 is: 139,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,595 : 95,811 = 95,811 : x
  2. Step 2: Convert to fraction form
    65,595/95,811 = 95,811/x
  3. Step 3: Cross multiply
    65,595x = 95,811 × 95,811
  4. Step 4: Simplify right side
    65,595x = 9,179,747,721
  5. Step 5: Solve for x
    x = 9,179,747,721/65,595
  6. Step 6: Final answer
    x = 139,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.