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Finding the Third Proportional to 71,835 and 113,694

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Solution

The third proportional to 71,835 and 113,694 is: 179,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835 : 113,694 = 113,694 : x
  2. Step 2: Convert to fraction form
    71,835/113,694 = 113,694/x
  3. Step 3: Cross multiply
    71,835x = 113,694 × 113,694
  4. Step 4: Simplify right side
    71,835x = 12,926,325,636
  5. Step 5: Solve for x
    x = 12,926,325,636/71,835
  6. Step 6: Final answer
    x = 179,944.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.