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Finding the Third Proportional to 79,546 and 107,654

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Solution

The third proportional to 79,546 and 107,654 is: 145,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,546 : 107,654 = 107,654 : x
  2. Step 2: Convert to fraction form
    79,546/107,654 = 107,654/x
  3. Step 3: Cross multiply
    79,546x = 107,654 × 107,654
  4. Step 4: Simplify right side
    79,546x = 11,589,383,716
  5. Step 5: Solve for x
    x = 11,589,383,716/79,546
  6. Step 6: Final answer
    x = 145,694.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.