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Finding the Third Proportional to 41,939 and 61,179

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Solution

The third proportional to 41,939 and 61,179 is: 89,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,939 : 61,179 = 61,179 : x
  2. Step 2: Convert to fraction form
    41,939/61,179 = 61,179/x
  3. Step 3: Cross multiply
    41,939x = 61,179 × 61,179
  4. Step 4: Simplify right side
    41,939x = 3,742,870,041
  5. Step 5: Solve for x
    x = 3,742,870,041/41,939
  6. Step 6: Final answer
    x = 89,245.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.