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Finding the Third Proportional to 61,676 and 132,869

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Solution

The third proportional to 61,676 and 132,869 is: 286,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676 : 132,869 = 132,869 : x
  2. Step 2: Convert to fraction form
    61,676/132,869 = 132,869/x
  3. Step 3: Cross multiply
    61,676x = 132,869 × 132,869
  4. Step 4: Simplify right side
    61,676x = 17,654,171,161
  5. Step 5: Solve for x
    x = 17,654,171,161/61,676
  6. Step 6: Final answer
    x = 286,240.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.