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Finding the Third Proportional to 89,668 and 134,330

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Solution

The third proportional to 89,668 and 134,330 is: 201,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,668 : 134,330 = 134,330 : x
  2. Step 2: Convert to fraction form
    89,668/134,330 = 134,330/x
  3. Step 3: Cross multiply
    89,668x = 134,330 × 134,330
  4. Step 4: Simplify right side
    89,668x = 18,044,548,900
  5. Step 5: Solve for x
    x = 18,044,548,900/89,668
  6. Step 6: Final answer
    x = 201,237.33

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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.