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Finding the Third Proportional to 47,736 and 103,326

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Solution

The third proportional to 47,736 and 103,326 is: 223,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,736 : 103,326 = 103,326 : x
  2. Step 2: Convert to fraction form
    47,736/103,326 = 103,326/x
  3. Step 3: Cross multiply
    47,736x = 103,326 × 103,326
  4. Step 4: Simplify right side
    47,736x = 10,676,262,276
  5. Step 5: Solve for x
    x = 10,676,262,276/47,736
  6. Step 6: Final answer
    x = 223,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.