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Finding the Third Proportional to 47,108 and 98,052

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Solution

The third proportional to 47,108 and 98,052 is: 204,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108 : 98,052 = 98,052 : x
  2. Step 2: Convert to fraction form
    47,108/98,052 = 98,052/x
  3. Step 3: Cross multiply
    47,108x = 98,052 × 98,052
  4. Step 4: Simplify right side
    47,108x = 9,614,194,704
  5. Step 5: Solve for x
    x = 9,614,194,704/47,108
  6. Step 6: Final answer
    x = 204,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.