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Finding the Third Proportional to 67,986 and 95,569

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Solution

The third proportional to 67,986 and 95,569 is: 134,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986 : 95,569 = 95,569 : x
  2. Step 2: Convert to fraction form
    67,986/95,569 = 95,569/x
  3. Step 3: Cross multiply
    67,986x = 95,569 × 95,569
  4. Step 4: Simplify right side
    67,986x = 9,133,433,761
  5. Step 5: Solve for x
    x = 9,133,433,761/67,986
  6. Step 6: Final answer
    x = 134,342.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.