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Finding the Third Proportional to 48,249 and 104,820.75

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Solution

The third proportional to 48,249 and 104,820.75 is: 227,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249 : 104,820.75 = 104,820.75 : x
  2. Step 2: Convert to fraction form
    48,249/104,820.75 = 104,820.75/x
  3. Step 3: Cross multiply
    48,249x = 104,820.75 × 104,820.75
  4. Step 4: Simplify right side
    48,249x = 10,987,389,630.56
  5. Step 5: Solve for x
    x = 10,987,389,630.56/48,249
  6. Step 6: Final answer
    x = 227,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.