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Finding the Third Proportional to 47,223 and 100,764

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Solution

The third proportional to 47,223 and 100,764 is: 215,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 100,764 = 100,764 : x
  2. Step 2: Convert to fraction form
    47,223/100,764 = 100,764/x
  3. Step 3: Cross multiply
    47,223x = 100,764 × 100,764
  4. Step 4: Simplify right side
    47,223x = 10,153,383,696
  5. Step 5: Solve for x
    x = 10,153,383,696/47,223
  6. Step 6: Final answer
    x = 215,009.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.