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Finding the Third Proportional to 47,678 and 102,852

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Solution

The third proportional to 47,678 and 102,852 is: 221,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,678 : 102,852 = 102,852 : x
  2. Step 2: Convert to fraction form
    47,678/102,852 = 102,852/x
  3. Step 3: Cross multiply
    47,678x = 102,852 × 102,852
  4. Step 4: Simplify right side
    47,678x = 10,578,533,904
  5. Step 5: Solve for x
    x = 10,578,533,904/47,678
  6. Step 6: Final answer
    x = 221,874.53

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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.