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Finding the Third Proportional to 47,660 and 103,167

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Solution

The third proportional to 47,660 and 103,167 is: 223,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660 : 103,167 = 103,167 : x
  2. Step 2: Convert to fraction form
    47,660/103,167 = 103,167/x
  3. Step 3: Cross multiply
    47,660x = 103,167 × 103,167
  4. Step 4: Simplify right side
    47,660x = 10,643,429,889
  5. Step 5: Solve for x
    x = 10,643,429,889/47,660
  6. Step 6: Final answer
    x = 223,319.97

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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.