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Finding the Third Proportional to 83,729 and 180,577

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Solution

The third proportional to 83,729 and 180,577 is: 389,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,729 : 180,577 = 180,577 : x
  2. Step 2: Convert to fraction form
    83,729/180,577 = 180,577/x
  3. Step 3: Cross multiply
    83,729x = 180,577 × 180,577
  4. Step 4: Simplify right side
    83,729x = 32,608,052,929
  5. Step 5: Solve for x
    x = 32,608,052,929/83,729
  6. Step 6: Final answer
    x = 389,447.54

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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.