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Finding the Third Proportional to 47,726 and 98,755

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Solution

The third proportional to 47,726 and 98,755 is: 204,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,726 : 98,755 = 98,755 : x
  2. Step 2: Convert to fraction form
    47,726/98,755 = 98,755/x
  3. Step 3: Cross multiply
    47,726x = 98,755 × 98,755
  4. Step 4: Simplify right side
    47,726x = 9,752,550,025
  5. Step 5: Solve for x
    x = 9,752,550,025/47,726
  6. Step 6: Final answer
    x = 204,344.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.