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Finding the Third Proportional to 83,826 and 180,720

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Solution

The third proportional to 83,826 and 180,720 is: 389,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,826 : 180,720 = 180,720 : x
  2. Step 2: Convert to fraction form
    83,826/180,720 = 180,720/x
  3. Step 3: Cross multiply
    83,826x = 180,720 × 180,720
  4. Step 4: Simplify right side
    83,826x = 32,659,718,400
  5. Step 5: Solve for x
    x = 32,659,718,400/83,826
  6. Step 6: Final answer
    x = 389,613.23

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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.