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Finding the Third Proportional to 48,205 and 98,759

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Solution

The third proportional to 48,205 and 98,759 is: 202,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205 : 98,759 = 98,759 : x
  2. Step 2: Convert to fraction form
    48,205/98,759 = 98,759/x
  3. Step 3: Cross multiply
    48,205x = 98,759 × 98,759
  4. Step 4: Simplify right side
    48,205x = 9,753,340,081
  5. Step 5: Solve for x
    x = 9,753,340,081/48,205
  6. Step 6: Final answer
    x = 202,330.47

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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.