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Finding the Third Proportional to 51,001 and 79,165

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Solution

The third proportional to 51,001 and 79,165 is: 122,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001 : 79,165 = 79,165 : x
  2. Step 2: Convert to fraction form
    51,001/79,165 = 79,165/x
  3. Step 3: Cross multiply
    51,001x = 79,165 × 79,165
  4. Step 4: Simplify right side
    51,001x = 6,267,097,225
  5. Step 5: Solve for x
    x = 6,267,097,225/51,001
  6. Step 6: Final answer
    x = 122,881.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.