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Finding the Third Proportional to 75,769 and 113,654

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Solution

The third proportional to 75,769 and 113,654 is: 170,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769 : 113,654 = 113,654 : x
  2. Step 2: Convert to fraction form
    75,769/113,654 = 113,654/x
  3. Step 3: Cross multiply
    75,769x = 113,654 × 113,654
  4. Step 4: Simplify right side
    75,769x = 12,917,231,716
  5. Step 5: Solve for x
    x = 12,917,231,716/75,769
  6. Step 6: Final answer
    x = 170,481.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.