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Finding the Third Proportional to 51,556 and 108,644

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Solution

The third proportional to 51,556 and 108,644 is: 228,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,556 : 108,644 = 108,644 : x
  2. Step 2: Convert to fraction form
    51,556/108,644 = 108,644/x
  3. Step 3: Cross multiply
    51,556x = 108,644 × 108,644
  4. Step 4: Simplify right side
    51,556x = 11,803,518,736
  5. Step 5: Solve for x
    x = 11,803,518,736/51,556
  6. Step 6: Final answer
    x = 228,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.