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Finding the Third Proportional to 83,772 and 180,668

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Solution

The third proportional to 83,772 and 180,668 is: 389,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,772 : 180,668 = 180,668 : x
  2. Step 2: Convert to fraction form
    83,772/180,668 = 180,668/x
  3. Step 3: Cross multiply
    83,772x = 180,668 × 180,668
  4. Step 4: Simplify right side
    83,772x = 32,640,926,224
  5. Step 5: Solve for x
    x = 32,640,926,224/83,772
  6. Step 6: Final answer
    x = 389,640.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.