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Finding the Third Proportional to 102,771 and 223,011

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Solution

The third proportional to 102,771 and 223,011 is: 483,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,771 : 223,011 = 223,011 : x
  2. Step 2: Convert to fraction form
    102,771/223,011 = 223,011/x
  3. Step 3: Cross multiply
    102,771x = 223,011 × 223,011
  4. Step 4: Simplify right side
    102,771x = 49,733,906,121
  5. Step 5: Solve for x
    x = 49,733,906,121/102,771
  6. Step 6: Final answer
    x = 483,929.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.