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Finding the Third Proportional to 39,542 and 83,668

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Solution

The third proportional to 39,542 and 83,668 is: 177,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542 : 83,668 = 83,668 : x
  2. Step 2: Convert to fraction form
    39,542/83,668 = 83,668/x
  3. Step 3: Cross multiply
    39,542x = 83,668 × 83,668
  4. Step 4: Simplify right side
    39,542x = 7,000,334,224
  5. Step 5: Solve for x
    x = 7,000,334,224/39,542
  6. Step 6: Final answer
    x = 177,035.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.