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Finding the Third Proportional to 45,350 and 68,199

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Solution

The third proportional to 45,350 and 68,199 is: 102,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,350 : 68,199 = 68,199 : x
  2. Step 2: Convert to fraction form
    45,350/68,199 = 68,199/x
  3. Step 3: Cross multiply
    45,350x = 68,199 × 68,199
  4. Step 4: Simplify right side
    45,350x = 4,651,103,601
  5. Step 5: Solve for x
    x = 4,651,103,601/45,350
  6. Step 6: Final answer
    x = 102,560.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.