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Finding the Third Proportional to 45,606 and 68,226

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Solution

The third proportional to 45,606 and 68,226 is: 102,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,606 : 68,226 = 68,226 : x
  2. Step 2: Convert to fraction form
    45,606/68,226 = 68,226/x
  3. Step 3: Cross multiply
    45,606x = 68,226 × 68,226
  4. Step 4: Simplify right side
    45,606x = 4,654,787,076
  5. Step 5: Solve for x
    x = 4,654,787,076/45,606
  6. Step 6: Final answer
    x = 102,065.23

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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.