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Finding the Third Proportional to 47,057 and 102,590

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Solution

The third proportional to 47,057 and 102,590 is: 223,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,057 : 102,590 = 102,590 : x
  2. Step 2: Convert to fraction form
    47,057/102,590 = 102,590/x
  3. Step 3: Cross multiply
    47,057x = 102,590 × 102,590
  4. Step 4: Simplify right side
    47,057x = 10,524,708,100
  5. Step 5: Solve for x
    x = 10,524,708,100/47,057
  6. Step 6: Final answer
    x = 223,658.71

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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.