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Finding the Third Proportional to 75,766 and 115,956

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Solution

The third proportional to 75,766 and 115,956 is: 177,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766 : 115,956 = 115,956 : x
  2. Step 2: Convert to fraction form
    75,766/115,956 = 115,956/x
  3. Step 3: Cross multiply
    75,766x = 115,956 × 115,956
  4. Step 4: Simplify right side
    75,766x = 13,445,793,936
  5. Step 5: Solve for x
    x = 13,445,793,936/75,766
  6. Step 6: Final answer
    x = 177,464.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.