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Finding the Third Proportional to 68,050 and 144,199

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Solution

The third proportional to 68,050 and 144,199 is: 305,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050 : 144,199 = 144,199 : x
  2. Step 2: Convert to fraction form
    68,050/144,199 = 144,199/x
  3. Step 3: Cross multiply
    68,050x = 144,199 × 144,199
  4. Step 4: Simplify right side
    68,050x = 20,793,351,601
  5. Step 5: Solve for x
    x = 20,793,351,601/68,050
  6. Step 6: Final answer
    x = 305,559.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.