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Finding the Third Proportional to 47,393 and 102,129

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Solution

The third proportional to 47,393 and 102,129 is: 220,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393 : 102,129 = 102,129 : x
  2. Step 2: Convert to fraction form
    47,393/102,129 = 102,129/x
  3. Step 3: Cross multiply
    47,393x = 102,129 × 102,129
  4. Step 4: Simplify right side
    47,393x = 10,430,332,641
  5. Step 5: Solve for x
    x = 10,430,332,641/47,393
  6. Step 6: Final answer
    x = 220,081.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.