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Finding the Third Proportional to 40,937 and 89,668

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Solution

The third proportional to 40,937 and 89,668 is: 196,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,937 : 89,668 = 89,668 : x
  2. Step 2: Convert to fraction form
    40,937/89,668 = 89,668/x
  3. Step 3: Cross multiply
    40,937x = 89,668 × 89,668
  4. Step 4: Simplify right side
    40,937x = 8,040,350,224
  5. Step 5: Solve for x
    x = 8,040,350,224/40,937
  6. Step 6: Final answer
    x = 196,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.