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Finding the Third Proportional to 94,190 and 142,245

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Solution

The third proportional to 94,190 and 142,245 is: 214,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,190 : 142,245 = 142,245 : x
  2. Step 2: Convert to fraction form
    94,190/142,245 = 142,245/x
  3. Step 3: Cross multiply
    94,190x = 142,245 × 142,245
  4. Step 4: Simplify right side
    94,190x = 20,233,640,025
  5. Step 5: Solve for x
    x = 20,233,640,025/94,190
  6. Step 6: Final answer
    x = 214,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.