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Finding the Third Proportional to 47,672 and 104,896

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Solution

The third proportional to 47,672 and 104,896 is: 230,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672 : 104,896 = 104,896 : x
  2. Step 2: Convert to fraction form
    47,672/104,896 = 104,896/x
  3. Step 3: Cross multiply
    47,672x = 104,896 × 104,896
  4. Step 4: Simplify right side
    47,672x = 11,003,170,816
  5. Step 5: Solve for x
    x = 11,003,170,816/47,672
  6. Step 6: Final answer
    x = 230,809.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.