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Finding the Third Proportional to 63,986 and 95,991

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Solution

The third proportional to 63,986 and 95,991 is: 144,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,986 : 95,991 = 95,991 : x
  2. Step 2: Convert to fraction form
    63,986/95,991 = 95,991/x
  3. Step 3: Cross multiply
    63,986x = 95,991 × 95,991
  4. Step 4: Simplify right side
    63,986x = 9,214,272,081
  5. Step 5: Solve for x
    x = 9,214,272,081/63,986
  6. Step 6: Final answer
    x = 144,004.50

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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.