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Finding the Third Proportional to 70,668 and 95,962

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Solution

The third proportional to 70,668 and 95,962 is: 130,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668 : 95,962 = 95,962 : x
  2. Step 2: Convert to fraction form
    70,668/95,962 = 95,962/x
  3. Step 3: Cross multiply
    70,668x = 95,962 × 95,962
  4. Step 4: Simplify right side
    70,668x = 9,208,705,444
  5. Step 5: Solve for x
    x = 9,208,705,444/70,668
  6. Step 6: Final answer
    x = 130,309.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.