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Finding the Third Proportional to 48,206 and 98,761

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Solution

The third proportional to 48,206 and 98,761 is: 202,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206 : 98,761 = 98,761 : x
  2. Step 2: Convert to fraction form
    48,206/98,761 = 98,761/x
  3. Step 3: Cross multiply
    48,206x = 98,761 × 98,761
  4. Step 4: Simplify right side
    48,206x = 9,753,735,121
  5. Step 5: Solve for x
    x = 9,753,735,121/48,206
  6. Step 6: Final answer
    x = 202,334.46

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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.