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Finding the Third Proportional to 122,586 and 195,174

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Solution

The third proportional to 122,586 and 195,174 is: 310,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586 : 195,174 = 195,174 : x
  2. Step 2: Convert to fraction form
    122,586/195,174 = 195,174/x
  3. Step 3: Cross multiply
    122,586x = 195,174 × 195,174
  4. Step 4: Simplify right side
    122,586x = 38,092,890,276
  5. Step 5: Solve for x
    x = 38,092,890,276/122,586
  6. Step 6: Final answer
    x = 310,744.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.