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Finding the Third Proportional to 32,069 and 68,251

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Solution

The third proportional to 32,069 and 68,251 is: 145,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069 : 68,251 = 68,251 : x
  2. Step 2: Convert to fraction form
    32,069/68,251 = 68,251/x
  3. Step 3: Cross multiply
    32,069x = 68,251 × 68,251
  4. Step 4: Simplify right side
    32,069x = 4,658,199,001
  5. Step 5: Solve for x
    x = 4,658,199,001/32,069
  6. Step 6: Final answer
    x = 145,255.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.