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Finding the Third Proportional to 49,006 and 73,147

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Solution

The third proportional to 49,006 and 73,147 is: 109,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 73,147 = 73,147 : x
  2. Step 2: Convert to fraction form
    49,006/73,147 = 73,147/x
  3. Step 3: Cross multiply
    49,006x = 73,147 × 73,147
  4. Step 4: Simplify right side
    49,006x = 5,350,483,609
  5. Step 5: Solve for x
    x = 5,350,483,609/49,006
  6. Step 6: Final answer
    x = 109,180.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.