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Finding the Third Proportional to 32,962 and 68,259

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Solution

The third proportional to 32,962 and 68,259 is: 141,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962 : 68,259 = 68,259 : x
  2. Step 2: Convert to fraction form
    32,962/68,259 = 68,259/x
  3. Step 3: Cross multiply
    32,962x = 68,259 × 68,259
  4. Step 4: Simplify right side
    32,962x = 4,659,291,081
  5. Step 5: Solve for x
    x = 4,659,291,081/32,962
  6. Step 6: Final answer
    x = 141,353.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.