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Finding the Third Proportional to 48,041 and 98,458

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Solution

The third proportional to 48,041 and 98,458 is: 201,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,041 : 98,458 = 98,458 : x
  2. Step 2: Convert to fraction form
    48,041/98,458 = 98,458/x
  3. Step 3: Cross multiply
    48,041x = 98,458 × 98,458
  4. Step 4: Simplify right side
    48,041x = 9,693,977,764
  5. Step 5: Solve for x
    x = 9,693,977,764/48,041
  6. Step 6: Final answer
    x = 201,785.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.