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Finding the Third Proportional to 32,245 and 68,107

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Solution

The third proportional to 32,245 and 68,107 is: 143,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245 : 68,107 = 68,107 : x
  2. Step 2: Convert to fraction form
    32,245/68,107 = 68,107/x
  3. Step 3: Cross multiply
    32,245x = 68,107 × 68,107
  4. Step 4: Simplify right side
    32,245x = 4,638,563,449
  5. Step 5: Solve for x
    x = 4,638,563,449/32,245
  6. Step 6: Final answer
    x = 143,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.