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Finding the Third Proportional to 48,242.25 and 100,122.75

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Solution

The third proportional to 48,242.25 and 100,122.75 is: 207,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,242.25 : 100,122.75 = 100,122.75 : x
  2. Step 2: Convert to fraction form
    48,242.25/100,122.75 = 100,122.75/x
  3. Step 3: Cross multiply
    48,242.25x = 100,122.75 × 100,122.75
  4. Step 4: Simplify right side
    48,242.25x = 10,024,565,067.56
  5. Step 5: Solve for x
    x = 10,024,565,067.56/48,242.25
  6. Step 6: Final answer
    x = 207,796.38

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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.