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Finding the Third Proportional to 47,518 and 102,644

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Solution

The third proportional to 47,518 and 102,644 is: 221,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,518 : 102,644 = 102,644 : x
  2. Step 2: Convert to fraction form
    47,518/102,644 = 102,644/x
  3. Step 3: Cross multiply
    47,518x = 102,644 × 102,644
  4. Step 4: Simplify right side
    47,518x = 10,535,790,736
  5. Step 5: Solve for x
    x = 10,535,790,736/47,518
  6. Step 6: Final answer
    x = 221,722.10

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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.