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Finding the Third Proportional to 83,829 and 180,726

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Solution

The third proportional to 83,829 and 180,726 is: 389,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,829 : 180,726 = 180,726 : x
  2. Step 2: Convert to fraction form
    83,829/180,726 = 180,726/x
  3. Step 3: Cross multiply
    83,829x = 180,726 × 180,726
  4. Step 4: Simplify right side
    83,829x = 32,661,887,076
  5. Step 5: Solve for x
    x = 32,661,887,076/83,829
  6. Step 6: Final answer
    x = 389,625.15

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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.