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Finding the Third Proportional to 61,997 and 135,586

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Solution

The third proportional to 61,997 and 135,586 is: 296,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,997 : 135,586 = 135,586 : x
  2. Step 2: Convert to fraction form
    61,997/135,586 = 135,586/x
  3. Step 3: Cross multiply
    61,997x = 135,586 × 135,586
  4. Step 4: Simplify right side
    61,997x = 18,383,563,396
  5. Step 5: Solve for x
    x = 18,383,563,396/61,997
  6. Step 6: Final answer
    x = 296,523.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.