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Finding the Third Proportional to 75,777 and 113,667

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Solution

The third proportional to 75,777 and 113,667 is: 170,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,777 : 113,667 = 113,667 : x
  2. Step 2: Convert to fraction form
    75,777/113,667 = 113,667/x
  3. Step 3: Cross multiply
    75,777x = 113,667 × 113,667
  4. Step 4: Simplify right side
    75,777x = 12,920,186,889
  5. Step 5: Solve for x
    x = 12,920,186,889/75,777
  6. Step 6: Final answer
    x = 170,502.75

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