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Finding the Third Proportional to 49,696 and 79,800

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Solution

The third proportional to 49,696 and 79,800 is: 128,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696 : 79,800 = 79,800 : x
  2. Step 2: Convert to fraction form
    49,696/79,800 = 79,800/x
  3. Step 3: Cross multiply
    49,696x = 79,800 × 79,800
  4. Step 4: Simplify right side
    49,696x = 6,368,040,000
  5. Step 5: Solve for x
    x = 6,368,040,000/49,696
  6. Step 6: Final answer
    x = 128,139.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.