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Finding the Third Proportional to 46,174 and 100,122

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Solution

The third proportional to 46,174 and 100,122 is: 217,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,174 : 100,122 = 100,122 : x
  2. Step 2: Convert to fraction form
    46,174/100,122 = 100,122/x
  3. Step 3: Cross multiply
    46,174x = 100,122 × 100,122
  4. Step 4: Simplify right side
    46,174x = 10,024,414,884
  5. Step 5: Solve for x
    x = 10,024,414,884/46,174
  6. Step 6: Final answer
    x = 217,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.