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Finding the Third Proportional to 61,813 and 126,563

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Solution

The third proportional to 61,813 and 126,563 is: 259,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,813 : 126,563 = 126,563 : x
  2. Step 2: Convert to fraction form
    61,813/126,563 = 126,563/x
  3. Step 3: Cross multiply
    61,813x = 126,563 × 126,563
  4. Step 4: Simplify right side
    61,813x = 16,018,192,969
  5. Step 5: Solve for x
    x = 16,018,192,969/61,813
  6. Step 6: Final answer
    x = 259,139.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.