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Finding the Third Proportional to 47,764 and 104,936

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Solution

The third proportional to 47,764 and 104,936 is: 230,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 104,936 = 104,936 : x
  2. Step 2: Convert to fraction form
    47,764/104,936 = 104,936/x
  3. Step 3: Cross multiply
    47,764x = 104,936 × 104,936
  4. Step 4: Simplify right side
    47,764x = 11,011,564,096
  5. Step 5: Solve for x
    x = 11,011,564,096/47,764
  6. Step 6: Final answer
    x = 230,541.08

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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.