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Finding the Third Proportional to 71,928 and 112,834

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Solution

The third proportional to 71,928 and 112,834 is: 177,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,928 : 112,834 = 112,834 : x
  2. Step 2: Convert to fraction form
    71,928/112,834 = 112,834/x
  3. Step 3: Cross multiply
    71,928x = 112,834 × 112,834
  4. Step 4: Simplify right side
    71,928x = 12,731,511,556
  5. Step 5: Solve for x
    x = 12,731,511,556/71,928
  6. Step 6: Final answer
    x = 177,003.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.