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Finding the Third Proportional to 51,206 and 105,964

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Solution

The third proportional to 51,206 and 105,964 is: 219,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206 : 105,964 = 105,964 : x
  2. Step 2: Convert to fraction form
    51,206/105,964 = 105,964/x
  3. Step 3: Cross multiply
    51,206x = 105,964 × 105,964
  4. Step 4: Simplify right side
    51,206x = 11,228,369,296
  5. Step 5: Solve for x
    x = 11,228,369,296/51,206
  6. Step 6: Final answer
    x = 219,278.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.