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Finding the Third Proportional to 61,049 and 126,775

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Solution

The third proportional to 61,049 and 126,775 is: 263,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,049 : 126,775 = 126,775 : x
  2. Step 2: Convert to fraction form
    61,049/126,775 = 126,775/x
  3. Step 3: Cross multiply
    61,049x = 126,775 × 126,775
  4. Step 4: Simplify right side
    61,049x = 16,071,900,625
  5. Step 5: Solve for x
    x = 16,071,900,625/61,049
  6. Step 6: Final answer
    x = 263,262.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.