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Finding the Third Proportional to 47,716 and 103,288

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Solution

The third proportional to 47,716 and 103,288 is: 223,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716 : 103,288 = 103,288 : x
  2. Step 2: Convert to fraction form
    47,716/103,288 = 103,288/x
  3. Step 3: Cross multiply
    47,716x = 103,288 × 103,288
  4. Step 4: Simplify right side
    47,716x = 10,668,410,944
  5. Step 5: Solve for x
    x = 10,668,410,944/47,716
  6. Step 6: Final answer
    x = 223,581.42

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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.