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Finding the Third Proportional to 74,225 and 119,741

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Solution

The third proportional to 74,225 and 119,741 is: 193,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,225 : 119,741 = 119,741 : x
  2. Step 2: Convert to fraction form
    74,225/119,741 = 119,741/x
  3. Step 3: Cross multiply
    74,225x = 119,741 × 119,741
  4. Step 4: Simplify right side
    74,225x = 14,337,907,081
  5. Step 5: Solve for x
    x = 14,337,907,081/74,225
  6. Step 6: Final answer
    x = 193,168.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.