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Finding the Third Proportional to 101,556 and 213,552

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Solution

The third proportional to 101,556 and 213,552 is: 449,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,556 : 213,552 = 213,552 : x
  2. Step 2: Convert to fraction form
    101,556/213,552 = 213,552/x
  3. Step 3: Cross multiply
    101,556x = 213,552 × 213,552
  4. Step 4: Simplify right side
    101,556x = 45,604,456,704
  5. Step 5: Solve for x
    x = 45,604,456,704/101,556
  6. Step 6: Final answer
    x = 449,057.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.