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Finding the Third Proportional to 48,546 and 73,161

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Solution

The third proportional to 48,546 and 73,161 is: 110,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546 : 73,161 = 73,161 : x
  2. Step 2: Convert to fraction form
    48,546/73,161 = 73,161/x
  3. Step 3: Cross multiply
    48,546x = 73,161 × 73,161
  4. Step 4: Simplify right side
    48,546x = 5,352,531,921
  5. Step 5: Solve for x
    x = 5,352,531,921/48,546
  6. Step 6: Final answer
    x = 110,256.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.