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Finding the Third Proportional to 47,007 and 102,438

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Solution

The third proportional to 47,007 and 102,438 is: 223,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 102,438 = 102,438 : x
  2. Step 2: Convert to fraction form
    47,007/102,438 = 102,438/x
  3. Step 3: Cross multiply
    47,007x = 102,438 × 102,438
  4. Step 4: Simplify right side
    47,007x = 10,493,543,844
  5. Step 5: Solve for x
    x = 10,493,543,844/47,007
  6. Step 6: Final answer
    x = 223,233.64

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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.