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Finding the Third Proportional to 61,992 and 135,446

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Solution

The third proportional to 61,992 and 135,446 is: 295,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,992 : 135,446 = 135,446 : x
  2. Step 2: Convert to fraction form
    61,992/135,446 = 135,446/x
  3. Step 3: Cross multiply
    61,992x = 135,446 × 135,446
  4. Step 4: Simplify right side
    61,992x = 18,345,618,916
  5. Step 5: Solve for x
    x = 18,345,618,916/61,992
  6. Step 6: Final answer
    x = 295,935.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.