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Finding the Third Proportional to 62,668 and 95,987

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Solution

The third proportional to 62,668 and 95,987 is: 147,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,668 : 95,987 = 95,987 : x
  2. Step 2: Convert to fraction form
    62,668/95,987 = 95,987/x
  3. Step 3: Cross multiply
    62,668x = 95,987 × 95,987
  4. Step 4: Simplify right side
    62,668x = 9,213,504,169
  5. Step 5: Solve for x
    x = 9,213,504,169/62,668
  6. Step 6: Final answer
    x = 147,020.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.