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Finding the Third Proportional to 35,901 and 78,932

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Solution

The third proportional to 35,901 and 78,932 is: 173,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901 : 78,932 = 78,932 : x
  2. Step 2: Convert to fraction form
    35,901/78,932 = 78,932/x
  3. Step 3: Cross multiply
    35,901x = 78,932 × 78,932
  4. Step 4: Simplify right side
    35,901x = 6,230,260,624
  5. Step 5: Solve for x
    x = 6,230,260,624/35,901
  6. Step 6: Final answer
    x = 173,540.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.