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Finding the Third Proportional to 46,199 and 71,679

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Solution

The third proportional to 46,199 and 71,679 is: 111,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,199 : 71,679 = 71,679 : x
  2. Step 2: Convert to fraction form
    46,199/71,679 = 71,679/x
  3. Step 3: Cross multiply
    46,199x = 71,679 × 71,679
  4. Step 4: Simplify right side
    46,199x = 5,137,879,041
  5. Step 5: Solve for x
    x = 5,137,879,041/46,199
  6. Step 6: Final answer
    x = 111,211.91

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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.