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Finding the Third Proportional to 71,049 and 94,786.50

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Solution

The third proportional to 71,049 and 94,786.50 is: 126,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,049 : 94,786.50 = 94,786.50 : x
  2. Step 2: Convert to fraction form
    71,049/94,786.50 = 94,786.50/x
  3. Step 3: Cross multiply
    71,049x = 94,786.50 × 94,786.50
  4. Step 4: Simplify right side
    71,049x = 8,984,480,582.25
  5. Step 5: Solve for x
    x = 8,984,480,582.25/71,049
  6. Step 6: Final answer
    x = 126,454.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.