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Finding the Third Proportional to 47,954 and 104,488

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Solution

The third proportional to 47,954 and 104,488 is: 227,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954 : 104,488 = 104,488 : x
  2. Step 2: Convert to fraction form
    47,954/104,488 = 104,488/x
  3. Step 3: Cross multiply
    47,954x = 104,488 × 104,488
  4. Step 4: Simplify right side
    47,954x = 10,917,742,144
  5. Step 5: Solve for x
    x = 10,917,742,144/47,954
  6. Step 6: Final answer
    x = 227,671.15

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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.