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Finding the Third Proportional to 47,042 and 103,108

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Solution

The third proportional to 47,042 and 103,108 is: 225,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042 : 103,108 = 103,108 : x
  2. Step 2: Convert to fraction form
    47,042/103,108 = 103,108/x
  3. Step 3: Cross multiply
    47,042x = 103,108 × 103,108
  4. Step 4: Simplify right side
    47,042x = 10,631,259,664
  5. Step 5: Solve for x
    x = 10,631,259,664/47,042
  6. Step 6: Final answer
    x = 225,995.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.