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Finding the Third Proportional to 51,017 and 108,211

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Solution

The third proportional to 51,017 and 108,211 is: 229,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,017 : 108,211 = 108,211 : x
  2. Step 2: Convert to fraction form
    51,017/108,211 = 108,211/x
  3. Step 3: Cross multiply
    51,017x = 108,211 × 108,211
  4. Step 4: Simplify right side
    51,017x = 11,709,620,521
  5. Step 5: Solve for x
    x = 11,709,620,521/51,017
  6. Step 6: Final answer
    x = 229,523.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.