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Finding the Third Proportional to 48,744.75 and 104,742.75

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Solution

The third proportional to 48,744.75 and 104,742.75 is: 225,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744.75 : 104,742.75 = 104,742.75 : x
  2. Step 2: Convert to fraction form
    48,744.75/104,742.75 = 104,742.75/x
  3. Step 3: Cross multiply
    48,744.75x = 104,742.75 × 104,742.75
  4. Step 4: Simplify right side
    48,744.75x = 10,971,043,677.56
  5. Step 5: Solve for x
    x = 10,971,043,677.56/48,744.75
  6. Step 6: Final answer
    x = 225,071.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.