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Finding the Third Proportional to 74,696 and 160,912

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Solution

The third proportional to 74,696 and 160,912 is: 346,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,696 : 160,912 = 160,912 : x
  2. Step 2: Convert to fraction form
    74,696/160,912 = 160,912/x
  3. Step 3: Cross multiply
    74,696x = 160,912 × 160,912
  4. Step 4: Simplify right side
    74,696x = 25,892,671,744
  5. Step 5: Solve for x
    x = 25,892,671,744/74,696
  6. Step 6: Final answer
    x = 346,640.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.