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Finding the Third Proportional to 50,221.13 and 68,206.50

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Solution

The third proportional to 50,221.13 and 68,206.50 is: 92,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221.13 : 68,206.50 = 68,206.50 : x
  2. Step 2: Convert to fraction form
    50,221.13/68,206.50 = 68,206.50/x
  3. Step 3: Cross multiply
    50,221.13x = 68,206.50 × 68,206.50
  4. Step 4: Simplify right side
    50,221.13x = 4,652,126,642.25
  5. Step 5: Solve for x
    x = 4,652,126,642.25/50,221.13
  6. Step 6: Final answer
    x = 92,632.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.