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Finding the Third Proportional to 47,766 and 104,028

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Solution

The third proportional to 47,766 and 104,028 is: 226,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766 : 104,028 = 104,028 : x
  2. Step 2: Convert to fraction form
    47,766/104,028 = 104,028/x
  3. Step 3: Cross multiply
    47,766x = 104,028 × 104,028
  4. Step 4: Simplify right side
    47,766x = 10,821,824,784
  5. Step 5: Solve for x
    x = 10,821,824,784/47,766
  6. Step 6: Final answer
    x = 226,559.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.