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Finding the Third Proportional to 47,172.38 and 68,814.56

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Solution

The third proportional to 47,172.38 and 68,814.56 is: 100,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,172.38 : 68,814.56 = 68,814.56 : x
  2. Step 2: Convert to fraction form
    47,172.38/68,814.56 = 68,814.56/x
  3. Step 3: Cross multiply
    47,172.38x = 68,814.56 × 68,814.56
  4. Step 4: Simplify right side
    47,172.38x = 4,735,444,012.07
  5. Step 5: Solve for x
    x = 4,735,444,012.07/47,172.38
  6. Step 6: Final answer
    x = 100,385.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.