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Finding the Third Proportional to 34,225 and 73,177

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Solution

The third proportional to 34,225 and 73,177 is: 156,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225 : 73,177 = 73,177 : x
  2. Step 2: Convert to fraction form
    34,225/73,177 = 73,177/x
  3. Step 3: Cross multiply
    34,225x = 73,177 × 73,177
  4. Step 4: Simplify right side
    34,225x = 5,354,873,329
  5. Step 5: Solve for x
    x = 5,354,873,329/34,225
  6. Step 6: Final answer
    x = 156,460.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.