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Finding the Third Proportional to 82,938 and 192,114

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Solution

The third proportional to 82,938 and 192,114 is: 445,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938 : 192,114 = 192,114 : x
  2. Step 2: Convert to fraction form
    82,938/192,114 = 192,114/x
  3. Step 3: Cross multiply
    82,938x = 192,114 × 192,114
  4. Step 4: Simplify right side
    82,938x = 36,907,788,996
  5. Step 5: Solve for x
    x = 36,907,788,996/82,938
  6. Step 6: Final answer
    x = 445,004.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.