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Finding the Third Proportional to 45,616.50 and 68,241

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Solution

The third proportional to 45,616.50 and 68,241 is: 102,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,616.50 : 68,241 = 68,241 : x
  2. Step 2: Convert to fraction form
    45,616.50/68,241 = 68,241/x
  3. Step 3: Cross multiply
    45,616.50x = 68,241 × 68,241
  4. Step 4: Simplify right side
    45,616.50x = 4,656,834,081
  5. Step 5: Solve for x
    x = 4,656,834,081/45,616.50
  6. Step 6: Final answer
    x = 102,086.62

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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.