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Finding the Third Proportional to 61,045 and 126,769

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Solution

The third proportional to 61,045 and 126,769 is: 263,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,045 : 126,769 = 126,769 : x
  2. Step 2: Convert to fraction form
    61,045/126,769 = 126,769/x
  3. Step 3: Cross multiply
    61,045x = 126,769 × 126,769
  4. Step 4: Simplify right side
    61,045x = 16,070,379,361
  5. Step 5: Solve for x
    x = 16,070,379,361/61,045
  6. Step 6: Final answer
    x = 263,254.64

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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.