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Finding the Third Proportional to 63,764 and 95,801

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Solution

The third proportional to 63,764 and 95,801 is: 143,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,764 : 95,801 = 95,801 : x
  2. Step 2: Convert to fraction form
    63,764/95,801 = 95,801/x
  3. Step 3: Cross multiply
    63,764x = 95,801 × 95,801
  4. Step 4: Simplify right side
    63,764x = 9,177,831,601
  5. Step 5: Solve for x
    x = 9,177,831,601/63,764
  6. Step 6: Final answer
    x = 143,934.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.