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Finding the Third Proportional to 47,105 and 98,044

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Solution

The third proportional to 47,105 and 98,044 is: 204,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105 : 98,044 = 98,044 : x
  2. Step 2: Convert to fraction form
    47,105/98,044 = 98,044/x
  3. Step 3: Cross multiply
    47,105x = 98,044 × 98,044
  4. Step 4: Simplify right side
    47,105x = 9,612,625,936
  5. Step 5: Solve for x
    x = 9,612,625,936/47,105
  6. Step 6: Final answer
    x = 204,068.06

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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.