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Finding the Third Proportional to 95,569 and 133,668

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Solution

The third proportional to 95,569 and 133,668 is: 186,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,569 : 133,668 = 133,668 : x
  2. Step 2: Convert to fraction form
    95,569/133,668 = 133,668/x
  3. Step 3: Cross multiply
    95,569x = 133,668 × 133,668
  4. Step 4: Simplify right side
    95,569x = 17,867,134,224
  5. Step 5: Solve for x
    x = 17,867,134,224/95,569
  6. Step 6: Final answer
    x = 186,955.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.