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Finding the Third Proportional to 47,664 and 103,173

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Solution

The third proportional to 47,664 and 103,173 is: 223,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 103,173 = 103,173 : x
  2. Step 2: Convert to fraction form
    47,664/103,173 = 103,173/x
  3. Step 3: Cross multiply
    47,664x = 103,173 × 103,173
  4. Step 4: Simplify right side
    47,664x = 10,644,667,929
  5. Step 5: Solve for x
    x = 10,644,667,929/47,664
  6. Step 6: Final answer
    x = 223,327.21

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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.