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Finding the Third Proportional to 47,914 and 102,395

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Solution

The third proportional to 47,914 and 102,395 is: 218,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,914 : 102,395 = 102,395 : x
  2. Step 2: Convert to fraction form
    47,914/102,395 = 102,395/x
  3. Step 3: Cross multiply
    47,914x = 102,395 × 102,395
  4. Step 4: Simplify right side
    47,914x = 10,484,736,025
  5. Step 5: Solve for x
    x = 10,484,736,025/47,914
  6. Step 6: Final answer
    x = 218,824.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.